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Finding the Fourth Proportional to 99.65, 149.81 and 76.83

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Solution

The fourth proportional to 99.65, 149.81 and 76.83 is: 115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.65 : 149.81 = 76.83 : x
  2. Step 2: Convert to fraction form
    99.65/149.81 = 76.83/x
  3. Step 3: Cross multiply
    99.65x = 149.81 × 76.83
  4. Step 4: Simplify right side
    99.65x = 11,509.52
  5. Step 5: Solve for x
    x = 11,509.52/99.65
  6. Step 6: Final answer
    x = 115.51

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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.