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Finding the Fourth Proportional to 120.49, 180.57 and 77.14

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Solution

The fourth proportional to 120.49, 180.57 and 77.14 is: 115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.49 : 180.57 = 77.14 : x
  2. Step 2: Convert to fraction form
    120.49/180.57 = 77.14/x
  3. Step 3: Cross multiply
    120.49x = 180.57 × 77.14
  4. Step 4: Simplify right side
    120.49x = 13,928.46
  5. Step 5: Solve for x
    x = 13,928.46/120.49
  6. Step 6: Final answer
    x = 115.60

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Why These Related Problems?

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