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Finding the Fourth Proportional to 118.34, 177.36 and 83.84

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Solution

The fourth proportional to 118.34, 177.36 and 83.84 is: 125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.34 : 177.36 = 83.84 : x
  2. Step 2: Convert to fraction form
    118.34/177.36 = 83.84/x
  3. Step 3: Cross multiply
    118.34x = 177.36 × 83.84
  4. Step 4: Simplify right side
    118.34x = 14,869.86
  5. Step 5: Solve for x
    x = 14,869.86/118.34
  6. Step 6: Final answer
    x = 125.65

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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.