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Finding the Fourth Proportional to 99.52, 149.08 and 77.84

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Solution

The fourth proportional to 99.52, 149.08 and 77.84 is: 116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.52 : 149.08 = 77.84 : x
  2. Step 2: Convert to fraction form
    99.52/149.08 = 77.84/x
  3. Step 3: Cross multiply
    99.52x = 149.08 × 77.84
  4. Step 4: Simplify right side
    99.52x = 11,604.39
  5. Step 5: Solve for x
    x = 11,604.39/99.52
  6. Step 6: Final answer
    x = 116.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.