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Finding the Fourth Proportional to 99.13, 136.74 and 77.02

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Solution

The fourth proportional to 99.13, 136.74 and 77.02 is: 106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.13 : 136.74 = 77.02 : x
  2. Step 2: Convert to fraction form
    99.13/136.74 = 77.02/x
  3. Step 3: Cross multiply
    99.13x = 136.74 × 77.02
  4. Step 4: Simplify right side
    99.13x = 10,531.71
  5. Step 5: Solve for x
    x = 10,531.71/99.13
  6. Step 6: Final answer
    x = 106.24

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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.