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Finding the Fourth Proportional to 91.56, 138.15 and 86.44

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Solution

The fourth proportional to 91.56, 138.15 and 86.44 is: 130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.56 : 138.15 = 86.44 : x
  2. Step 2: Convert to fraction form
    91.56/138.15 = 86.44/x
  3. Step 3: Cross multiply
    91.56x = 138.15 × 86.44
  4. Step 4: Simplify right side
    91.56x = 11,941.69
  5. Step 5: Solve for x
    x = 11,941.69/91.56
  6. Step 6: Final answer
    x = 130.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.