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Finding the Fourth Proportional to 147.18, 202.95 and 121.26

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Solution

The fourth proportional to 147.18, 202.95 and 121.26 is: 167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.18 : 202.95 = 121.26 : x
  2. Step 2: Convert to fraction form
    147.18/202.95 = 121.26/x
  3. Step 3: Cross multiply
    147.18x = 202.95 × 121.26
  4. Step 4: Simplify right side
    147.18x = 24,609.72
  5. Step 5: Solve for x
    x = 24,609.72/147.18
  6. Step 6: Final answer
    x = 167.21

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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.