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Finding the Fourth Proportional to 99.16, 136.58 and 77.24

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Solution

The fourth proportional to 99.16, 136.58 and 77.24 is: 106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.16 : 136.58 = 77.24 : x
  2. Step 2: Convert to fraction form
    99.16/136.58 = 77.24/x
  3. Step 3: Cross multiply
    99.16x = 136.58 × 77.24
  4. Step 4: Simplify right side
    99.16x = 10,549.44
  5. Step 5: Solve for x
    x = 10,549.44/99.16
  6. Step 6: Final answer
    x = 106.39

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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.