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Finding the Fourth Proportional to 99.20, 136.76 and 84.64

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Solution

The fourth proportional to 99.20, 136.76 and 84.64 is: 116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.20 : 136.76 = 84.64 : x
  2. Step 2: Convert to fraction form
    99.20/136.76 = 84.64/x
  3. Step 3: Cross multiply
    99.20x = 136.76 × 84.64
  4. Step 4: Simplify right side
    99.20x = 11,575.37
  5. Step 5: Solve for x
    x = 11,575.37/99.20
  6. Step 6: Final answer
    x = 116.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.