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Finding the Fourth Proportional to 147.57, 202.96 and 117.72

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Solution

The fourth proportional to 147.57, 202.96 and 117.72 is: 161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.57 : 202.96 = 117.72 : x
  2. Step 2: Convert to fraction form
    147.57/202.96 = 117.72/x
  3. Step 3: Cross multiply
    147.57x = 202.96 × 117.72
  4. Step 4: Simplify right side
    147.57x = 23,891.94
  5. Step 5: Solve for x
    x = 23,891.94/147.57
  6. Step 6: Final answer
    x = 161.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.