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Finding the Fourth Proportional to 52.38, 72.21 and 43.16

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Solution

The fourth proportional to 52.38, 72.21 and 43.16 is: 59.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.38 : 72.21 = 43.16 : x
  2. Step 2: Convert to fraction form
    52.38/72.21 = 43.16/x
  3. Step 3: Cross multiply
    52.38x = 72.21 × 43.16
  4. Step 4: Simplify right side
    52.38x = 3,116.01
  5. Step 5: Solve for x
    x = 3,116.01/52.38
  6. Step 6: Final answer
    x = 59.49

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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.