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Finding the Fourth Proportional to 52.43, 72.33 and 36.14

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Solution

The fourth proportional to 52.43, 72.33 and 36.14 is: 49.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.43 : 72.33 = 36.14 : x
  2. Step 2: Convert to fraction form
    52.43/72.33 = 36.14/x
  3. Step 3: Cross multiply
    52.43x = 72.33 × 36.14
  4. Step 4: Simplify right side
    52.43x = 2,613.64
  5. Step 5: Solve for x
    x = 2,613.64/52.43
  6. Step 6: Final answer
    x = 49.85

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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.