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Finding the Fourth Proportional to 91.98, 127.76 and 89.42

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Solution

The fourth proportional to 91.98, 127.76 and 89.42 is: 124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.98 : 127.76 = 89.42 : x
  2. Step 2: Convert to fraction form
    91.98/127.76 = 89.42/x
  3. Step 3: Cross multiply
    91.98x = 127.76 × 89.42
  4. Step 4: Simplify right side
    91.98x = 11,424.30
  5. Step 5: Solve for x
    x = 11,424.30/91.98
  6. Step 6: Final answer
    x = 124.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.