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Finding the Fourth Proportional to 37.90, 52.14 and 32.43

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Solution

The fourth proportional to 37.90, 52.14 and 32.43 is: 44.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.90 : 52.14 = 32.43 : x
  2. Step 2: Convert to fraction form
    37.90/52.14 = 32.43/x
  3. Step 3: Cross multiply
    37.90x = 52.14 × 32.43
  4. Step 4: Simplify right side
    37.90x = 1,691.22
  5. Step 5: Solve for x
    x = 1,691.22/37.90
  6. Step 6: Final answer
    x = 44.62

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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.