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Finding the Fourth Proportional to 118.39, 177.81 and 99.24

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Solution

The fourth proportional to 118.39, 177.81 and 99.24 is: 149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.39 : 177.81 = 99.24 : x
  2. Step 2: Convert to fraction form
    118.39/177.81 = 99.24/x
  3. Step 3: Cross multiply
    118.39x = 177.81 × 99.24
  4. Step 4: Simplify right side
    118.39x = 17,645.37
  5. Step 5: Solve for x
    x = 17,645.37/118.39
  6. Step 6: Final answer
    x = 149.05

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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.