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Finding the Fourth Proportional to 84.92, 117.35 and 61.63

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Solution

The fourth proportional to 84.92, 117.35 and 61.63 is: 85.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.92 : 117.35 = 61.63 : x
  2. Step 2: Convert to fraction form
    84.92/117.35 = 61.63/x
  3. Step 3: Cross multiply
    84.92x = 117.35 × 61.63
  4. Step 4: Simplify right side
    84.92x = 7,231.91
  5. Step 5: Solve for x
    x = 7,231.91/84.92
  6. Step 6: Final answer
    x = 85.17

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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.