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Finding the Fourth Proportional to 99.19, 136.79 and 77.06

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Solution

The fourth proportional to 99.19, 136.79 and 77.06 is: 106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.19 : 136.79 = 77.06 : x
  2. Step 2: Convert to fraction form
    99.19/136.79 = 77.06/x
  3. Step 3: Cross multiply
    99.19x = 136.79 × 77.06
  4. Step 4: Simplify right side
    99.19x = 10,540.65
  5. Step 5: Solve for x
    x = 10,540.65/99.19
  6. Step 6: Final answer
    x = 106.27

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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.