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Finding the Fourth Proportional to 37.71, 51.89 and 31.50

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Solution

The fourth proportional to 37.71, 51.89 and 31.50 is: 43.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.71 : 51.89 = 31.50 : x
  2. Step 2: Convert to fraction form
    37.71/51.89 = 31.50/x
  3. Step 3: Cross multiply
    37.71x = 51.89 × 31.50
  4. Step 4: Simplify right side
    37.71x = 1,634.38
  5. Step 5: Solve for x
    x = 1,634.38/37.71
  6. Step 6: Final answer
    x = 43.34

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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.