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Finding the Fourth Proportional to 99.36, 137.17 and 77.18

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Solution

The fourth proportional to 99.36, 137.17 and 77.18 is: 106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.36 : 137.17 = 77.18 : x
  2. Step 2: Convert to fraction form
    99.36/137.17 = 77.18/x
  3. Step 3: Cross multiply
    99.36x = 137.17 × 77.18
  4. Step 4: Simplify right side
    99.36x = 10,586.98
  5. Step 5: Solve for x
    x = 10,586.98/99.36
  6. Step 6: Final answer
    x = 106.55

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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.