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Finding the Fourth Proportional to 84.92, 117.15 and 61.54

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Solution

The fourth proportional to 84.92, 117.15 and 61.54 is: 84.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.92 : 117.15 = 61.54 : x
  2. Step 2: Convert to fraction form
    84.92/117.15 = 61.54/x
  3. Step 3: Cross multiply
    84.92x = 117.15 × 61.54
  4. Step 4: Simplify right side
    84.92x = 7,209.55
  5. Step 5: Solve for x
    x = 7,209.55/84.92
  6. Step 6: Final answer
    x = 84.90

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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.