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Finding the Fourth Proportional to 117.57, 176.27 and 56.73

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Solution

The fourth proportional to 117.57, 176.27 and 56.73 is: 85.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.57 : 176.27 = 56.73 : x
  2. Step 2: Convert to fraction form
    117.57/176.27 = 56.73/x
  3. Step 3: Cross multiply
    117.57x = 176.27 × 56.73
  4. Step 4: Simplify right side
    117.57x = 9,999.51
  5. Step 5: Solve for x
    x = 9,999.51/117.57
  6. Step 6: Final answer
    x = 85.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.