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Finding the Fourth Proportional to 99.15, 136.89 and 78.53

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Solution

The fourth proportional to 99.15, 136.89 and 78.53 is: 108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.15 : 136.89 = 78.53 : x
  2. Step 2: Convert to fraction form
    99.15/136.89 = 78.53/x
  3. Step 3: Cross multiply
    99.15x = 136.89 × 78.53
  4. Step 4: Simplify right side
    99.15x = 10,749.29
  5. Step 5: Solve for x
    x = 10,749.29/99.15
  6. Step 6: Final answer
    x = 108.42

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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.