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Finding the Fourth Proportional to 84.29, 116.26 and 63.55

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Solution

The fourth proportional to 84.29, 116.26 and 63.55 is: 87.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.29 : 116.26 = 63.55 : x
  2. Step 2: Convert to fraction form
    84.29/116.26 = 63.55/x
  3. Step 3: Cross multiply
    84.29x = 116.26 × 63.55
  4. Step 4: Simplify right side
    84.29x = 7,388.32
  5. Step 5: Solve for x
    x = 7,388.32/84.29
  6. Step 6: Final answer
    x = 87.66

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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.