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Finding the Fourth Proportional to 89.91, 123.80 and 85.59

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Solution

The fourth proportional to 89.91, 123.80 and 85.59 is: 117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.91 : 123.80 = 85.59 : x
  2. Step 2: Convert to fraction form
    89.91/123.80 = 85.59/x
  3. Step 3: Cross multiply
    89.91x = 123.80 × 85.59
  4. Step 4: Simplify right side
    89.91x = 10,595.61
  5. Step 5: Solve for x
    x = 10,595.61/89.91
  6. Step 6: Final answer
    x = 117.85

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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.