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Finding the Fourth Proportional to 61.31, 84.67 and 49.78

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Solution

The fourth proportional to 61.31, 84.67 and 49.78 is: 68.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.31 : 84.67 = 49.78 : x
  2. Step 2: Convert to fraction form
    61.31/84.67 = 49.78/x
  3. Step 3: Cross multiply
    61.31x = 84.67 × 49.78
  4. Step 4: Simplify right side
    61.31x = 4,214.87
  5. Step 5: Solve for x
    x = 4,214.87/61.31
  6. Step 6: Final answer
    x = 68.75

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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.