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Finding the Fourth Proportional to 61.78, 92.65 and 31.31

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Solution

The fourth proportional to 61.78, 92.65 and 31.31 is: 46.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.78 : 92.65 = 31.31 : x
  2. Step 2: Convert to fraction form
    61.78/92.65 = 31.31/x
  3. Step 3: Cross multiply
    61.78x = 92.65 × 31.31
  4. Step 4: Simplify right side
    61.78x = 2,900.87
  5. Step 5: Solve for x
    x = 2,900.87/61.78
  6. Step 6: Final answer
    x = 46.95

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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.