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Finding the Fourth Proportional to 61.68, 92.31 and 55.34

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Solution

The fourth proportional to 61.68, 92.31 and 55.34 is: 82.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.68 : 92.31 = 55.34 : x
  2. Step 2: Convert to fraction form
    61.68/92.31 = 55.34/x
  3. Step 3: Cross multiply
    61.68x = 92.31 × 55.34
  4. Step 4: Simplify right side
    61.68x = 5,107.97
  5. Step 5: Solve for x
    x = 5,107.97/61.68
  6. Step 6: Final answer
    x = 82.81

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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.