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Finding the Fourth Proportional to 99.03, 136.47 and 84.24

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Solution

The fourth proportional to 99.03, 136.47 and 84.24 is: 116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.03 : 136.47 = 84.24 : x
  2. Step 2: Convert to fraction form
    99.03/136.47 = 84.24/x
  3. Step 3: Cross multiply
    99.03x = 136.47 × 84.24
  4. Step 4: Simplify right side
    99.03x = 11,496.23
  5. Step 5: Solve for x
    x = 11,496.23/99.03
  6. Step 6: Final answer
    x = 116.09

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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.