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Finding the Fourth Proportional to 99.36, 149.16 and 77.70

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Solution

The fourth proportional to 99.36, 149.16 and 77.70 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.36 : 149.16 = 77.70 : x
  2. Step 2: Convert to fraction form
    99.36/149.16 = 77.70/x
  3. Step 3: Cross multiply
    99.36x = 149.16 × 77.70
  4. Step 4: Simplify right side
    99.36x = 11,589.73
  5. Step 5: Solve for x
    x = 11,589.73/99.36
  6. Step 6: Final answer
    x = 116.64

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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.