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Finding the Fourth Proportional to 99.69, 136.64 and 96.04

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Solution

The fourth proportional to 99.69, 136.64 and 96.04 is: 131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.69 : 136.64 = 96.04 : x
  2. Step 2: Convert to fraction form
    99.69/136.64 = 96.04/x
  3. Step 3: Cross multiply
    99.69x = 136.64 × 96.04
  4. Step 4: Simplify right side
    99.69x = 13,122.91
  5. Step 5: Solve for x
    x = 13,122.91/99.69
  6. Step 6: Final answer
    x = 131.64

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Why These Related Problems?

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