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Finding the Fourth Proportional to 31.89, 47.78 and 31.14

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Solution

The fourth proportional to 31.89, 47.78 and 31.14 is: 46.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.89 : 47.78 = 31.14 : x
  2. Step 2: Convert to fraction form
    31.89/47.78 = 31.14/x
  3. Step 3: Cross multiply
    31.89x = 47.78 × 31.14
  4. Step 4: Simplify right side
    31.89x = 1,487.71
  5. Step 5: Solve for x
    x = 1,487.71/31.89
  6. Step 6: Final answer
    x = 46.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.