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Finding the Fourth Proportional to 99.22, 149.14 and 96.92

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Solution

The fourth proportional to 99.22, 149.14 and 96.92 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.22 : 149.14 = 96.92 : x
  2. Step 2: Convert to fraction form
    99.22/149.14 = 96.92/x
  3. Step 3: Cross multiply
    99.22x = 149.14 × 96.92
  4. Step 4: Simplify right side
    99.22x = 14,454.65
  5. Step 5: Solve for x
    x = 14,454.65/99.22
  6. Step 6: Final answer
    x = 145.68

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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.