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Finding the Fourth Proportional to 91.26, 125.60 and 89

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Solution

The fourth proportional to 91.26, 125.60 and 89 is: 122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.26 : 125.60 = 89 : x
  2. Step 2: Convert to fraction form
    91.26/125.60 = 89/x
  3. Step 3: Cross multiply
    91.26x = 125.60 × 89
  4. Step 4: Simplify right side
    91.26x = 11,178.40
  5. Step 5: Solve for x
    x = 11,178.40/91.26
  6. Step 6: Final answer
    x = 122.49

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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.