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Finding the Fourth Proportional to 85.92, 118.53 and 52.71

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Solution

The fourth proportional to 85.92, 118.53 and 52.71 is: 72.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.92 : 118.53 = 52.71 : x
  2. Step 2: Convert to fraction form
    85.92/118.53 = 52.71/x
  3. Step 3: Cross multiply
    85.92x = 118.53 × 52.71
  4. Step 4: Simplify right side
    85.92x = 6,247.72
  5. Step 5: Solve for x
    x = 6,247.72/85.92
  6. Step 6: Final answer
    x = 72.72

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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.