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Finding the Fourth Proportional to 39.80, 59.43 and 37.38

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Solution

The fourth proportional to 39.80, 59.43 and 37.38 is: 55.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.80 : 59.43 = 37.38 : x
  2. Step 2: Convert to fraction form
    39.80/59.43 = 37.38/x
  3. Step 3: Cross multiply
    39.80x = 59.43 × 37.38
  4. Step 4: Simplify right side
    39.80x = 2,221.49
  5. Step 5: Solve for x
    x = 2,221.49/39.80
  6. Step 6: Final answer
    x = 55.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.