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Finding the Fourth Proportional to 91.53, 138.05 and 86.60

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Solution

The fourth proportional to 91.53, 138.05 and 86.60 is: 130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.53 : 138.05 = 86.60 : x
  2. Step 2: Convert to fraction form
    91.53/138.05 = 86.60/x
  3. Step 3: Cross multiply
    91.53x = 138.05 × 86.60
  4. Step 4: Simplify right side
    91.53x = 11,954.01
  5. Step 5: Solve for x
    x = 11,954.01/91.53
  6. Step 6: Final answer
    x = 130.60

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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.