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Finding the Fourth Proportional to 91.85, 137.19 and 91.43

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Solution

The fourth proportional to 91.85, 137.19 and 91.43 is: 136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.85 : 137.19 = 91.43 : x
  2. Step 2: Convert to fraction form
    91.85/137.19 = 91.43/x
  3. Step 3: Cross multiply
    91.85x = 137.19 × 91.43
  4. Step 4: Simplify right side
    91.85x = 12,543.28
  5. Step 5: Solve for x
    x = 12,543.28/91.85
  6. Step 6: Final answer
    x = 136.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.