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Finding the Fourth Proportional to 118, 176.86 and 66.62

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Solution

The fourth proportional to 118, 176.86 and 66.62 is: 99.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118 : 176.86 = 66.62 : x
  2. Step 2: Convert to fraction form
    118/176.86 = 66.62/x
  3. Step 3: Cross multiply
    118x = 176.86 × 66.62
  4. Step 4: Simplify right side
    118x = 11,782.41
  5. Step 5: Solve for x
    x = 11,782.41/118
  6. Step 6: Final answer
    x = 99.85

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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.