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Finding the Fourth Proportional to 37.74, 52.00 and 29.01

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Solution

The fourth proportional to 37.74, 52.00 and 29.01 is: 39.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.74 : 52.00 = 29.01 : x
  2. Step 2: Convert to fraction form
    37.74/52.00 = 29.01/x
  3. Step 3: Cross multiply
    37.74x = 52.00 × 29.01
  4. Step 4: Simplify right side
    37.74x = 1,508.55
  5. Step 5: Solve for x
    x = 1,508.55/37.74
  6. Step 6: Final answer
    x = 39.97

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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.