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Finding the Fourth Proportional to 84.52, 116.74 and 72.14

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Solution

The fourth proportional to 84.52, 116.74 and 72.14 is: 99.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.52 : 116.74 = 72.14 : x
  2. Step 2: Convert to fraction form
    84.52/116.74 = 72.14/x
  3. Step 3: Cross multiply
    84.52x = 116.74 × 72.14
  4. Step 4: Simplify right side
    84.52x = 8,421.62
  5. Step 5: Solve for x
    x = 8,421.62/84.52
  6. Step 6: Final answer
    x = 99.64

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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.