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Finding the Fourth Proportional to 118.52, 176.99 and 112.44

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Solution

The fourth proportional to 118.52, 176.99 and 112.44 is: 167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.52 : 176.99 = 112.44 : x
  2. Step 2: Convert to fraction form
    118.52/176.99 = 112.44/x
  3. Step 3: Cross multiply
    118.52x = 176.99 × 112.44
  4. Step 4: Simplify right side
    118.52x = 19,900.76
  5. Step 5: Solve for x
    x = 19,900.76/118.52
  6. Step 6: Final answer
    x = 167.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.