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Finding the Fourth Proportional to 80.60, 120.12 and 77.16

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Solution

The fourth proportional to 80.60, 120.12 and 77.16 is: 114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.60 : 120.12 = 77.16 : x
  2. Step 2: Convert to fraction form
    80.60/120.12 = 77.16/x
  3. Step 3: Cross multiply
    80.60x = 120.12 × 77.16
  4. Step 4: Simplify right side
    80.60x = 9,268.46
  5. Step 5: Solve for x
    x = 9,268.46/80.60
  6. Step 6: Final answer
    x = 114.99

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Why These Related Problems?

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