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Finding the Fourth Proportional to 84.35, 116.42 and 51.61

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Solution

The fourth proportional to 84.35, 116.42 and 51.61 is: 71.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.35 : 116.42 = 51.61 : x
  2. Step 2: Convert to fraction form
    84.35/116.42 = 51.61/x
  3. Step 3: Cross multiply
    84.35x = 116.42 × 51.61
  4. Step 4: Simplify right side
    84.35x = 6,008.44
  5. Step 5: Solve for x
    x = 6,008.44/84.35
  6. Step 6: Final answer
    x = 71.23

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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.