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Finding the Fourth Proportional to 120.60, 180.76 and 86.16

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Solution

The fourth proportional to 120.60, 180.76 and 86.16 is: 129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.60 : 180.76 = 86.16 : x
  2. Step 2: Convert to fraction form
    120.60/180.76 = 86.16/x
  3. Step 3: Cross multiply
    120.60x = 180.76 × 86.16
  4. Step 4: Simplify right side
    120.60x = 15,574.28
  5. Step 5: Solve for x
    x = 15,574.28/120.60
  6. Step 6: Final answer
    x = 129.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.