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Finding the Fourth Proportional to 99.48, 136.97 and 84.70

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Solution

The fourth proportional to 99.48, 136.97 and 84.70 is: 116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.48 : 136.97 = 84.70 : x
  2. Step 2: Convert to fraction form
    99.48/136.97 = 84.70/x
  3. Step 3: Cross multiply
    99.48x = 136.97 × 84.70
  4. Step 4: Simplify right side
    99.48x = 11,601.36
  5. Step 5: Solve for x
    x = 11,601.36/99.48
  6. Step 6: Final answer
    x = 116.62

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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.