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Finding the Fourth Proportional to 118.62, 177.96 and 99.48

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Solution

The fourth proportional to 118.62, 177.96 and 99.48 is: 149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.62 : 177.96 = 99.48 : x
  2. Step 2: Convert to fraction form
    118.62/177.96 = 99.48/x
  3. Step 3: Cross multiply
    118.62x = 177.96 × 99.48
  4. Step 4: Simplify right side
    118.62x = 17,703.46
  5. Step 5: Solve for x
    x = 17,703.46/118.62
  6. Step 6: Final answer
    x = 149.25

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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.