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Finding the Fourth Proportional to 37.66, 52.01 and 29.46

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Solution

The fourth proportional to 37.66, 52.01 and 29.46 is: 40.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.66 : 52.01 = 29.46 : x
  2. Step 2: Convert to fraction form
    37.66/52.01 = 29.46/x
  3. Step 3: Cross multiply
    37.66x = 52.01 × 29.46
  4. Step 4: Simplify right side
    37.66x = 1,532.21
  5. Step 5: Solve for x
    x = 1,532.21/37.66
  6. Step 6: Final answer
    x = 40.69

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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.