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Finding the Fourth Proportional to 99.65, 136.31 and 99.24

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Solution

The fourth proportional to 99.65, 136.31 and 99.24 is: 135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.65 : 136.31 = 99.24 : x
  2. Step 2: Convert to fraction form
    99.65/136.31 = 99.24/x
  3. Step 3: Cross multiply
    99.65x = 136.31 × 99.24
  4. Step 4: Simplify right side
    99.65x = 13,526.91
  5. Step 5: Solve for x
    x = 13,526.91/99.65
  6. Step 6: Final answer
    x = 135.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.