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Finding the Fourth Proportional to 40.30, 60.02 and 37.97

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Solution

The fourth proportional to 40.30, 60.02 and 37.97 is: 56.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.30 : 60.02 = 37.97 : x
  2. Step 2: Convert to fraction form
    40.30/60.02 = 37.97/x
  3. Step 3: Cross multiply
    40.30x = 60.02 × 37.97
  4. Step 4: Simplify right side
    40.30x = 2,279.05
  5. Step 5: Solve for x
    x = 2,279.05/40.30
  6. Step 6: Final answer
    x = 56.56

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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.