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Finding the Fourth Proportional to 37.74, 52.09 and 29.53

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Solution

The fourth proportional to 37.74, 52.09 and 29.53 is: 40.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.74 : 52.09 = 29.53 : x
  2. Step 2: Convert to fraction form
    37.74/52.09 = 29.53/x
  3. Step 3: Cross multiply
    37.74x = 52.09 × 29.53
  4. Step 4: Simplify right side
    37.74x = 1,538.22
  5. Step 5: Solve for x
    x = 1,538.22/37.74
  6. Step 6: Final answer
    x = 40.76

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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.