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Finding the Fourth Proportional to 37.97, 56.70 and 31.18

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Solution

The fourth proportional to 37.97, 56.70 and 31.18 is: 46.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.97 : 56.70 = 31.18 : x
  2. Step 2: Convert to fraction form
    37.97/56.70 = 31.18/x
  3. Step 3: Cross multiply
    37.97x = 56.70 × 31.18
  4. Step 4: Simplify right side
    37.97x = 1,767.91
  5. Step 5: Solve for x
    x = 1,767.91/37.97
  6. Step 6: Final answer
    x = 46.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.