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Finding the Fourth Proportional to 134.80, 185.89 and 89.85

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Solution

The fourth proportional to 134.80, 185.89 and 89.85 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.80 : 185.89 = 89.85 : x
  2. Step 2: Convert to fraction form
    134.80/185.89 = 89.85/x
  3. Step 3: Cross multiply
    134.80x = 185.89 × 89.85
  4. Step 4: Simplify right side
    134.80x = 16,702.22
  5. Step 5: Solve for x
    x = 16,702.22/134.80
  6. Step 6: Final answer
    x = 123.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.