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Finding the Fourth Proportional to 118.06, 176.97 and 74.71

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Solution

The fourth proportional to 118.06, 176.97 and 74.71 is: 111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.06 : 176.97 = 74.71 : x
  2. Step 2: Convert to fraction form
    118.06/176.97 = 74.71/x
  3. Step 3: Cross multiply
    118.06x = 176.97 × 74.71
  4. Step 4: Simplify right side
    118.06x = 13,221.43
  5. Step 5: Solve for x
    x = 13,221.43/118.06
  6. Step 6: Final answer
    x = 111.99

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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.