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Finding the Fourth Proportional to 91.77, 125.89 and 89.47

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Solution

The fourth proportional to 91.77, 125.89 and 89.47 is: 122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.77 : 125.89 = 89.47 : x
  2. Step 2: Convert to fraction form
    91.77/125.89 = 89.47/x
  3. Step 3: Cross multiply
    91.77x = 125.89 × 89.47
  4. Step 4: Simplify right side
    91.77x = 11,263.38
  5. Step 5: Solve for x
    x = 11,263.38/91.77
  6. Step 6: Final answer
    x = 122.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.