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Finding the Fourth Proportional to 52.49, 72.47 and 36.97

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Solution

The fourth proportional to 52.49, 72.47 and 36.97 is: 51.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.49 : 72.47 = 36.97 : x
  2. Step 2: Convert to fraction form
    52.49/72.47 = 36.97/x
  3. Step 3: Cross multiply
    52.49x = 72.47 × 36.97
  4. Step 4: Simplify right side
    52.49x = 2,679.13
  5. Step 5: Solve for x
    x = 2,679.13/52.49
  6. Step 6: Final answer
    x = 51.04

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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.