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Finding the Fourth Proportional to 118.86, 177.90 and 89.92

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Solution

The fourth proportional to 118.86, 177.90 and 89.92 is: 134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.86 : 177.90 = 89.92 : x
  2. Step 2: Convert to fraction form
    118.86/177.90 = 89.92/x
  3. Step 3: Cross multiply
    118.86x = 177.90 × 89.92
  4. Step 4: Simplify right side
    118.86x = 15,996.77
  5. Step 5: Solve for x
    x = 15,996.77/118.86
  6. Step 6: Final answer
    x = 134.58

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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.