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Finding the Fourth Proportional to 80.77, 121.14 and 35.15

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Solution

The fourth proportional to 80.77, 121.14 and 35.15 is: 52.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.77 : 121.14 = 35.15 : x
  2. Step 2: Convert to fraction form
    80.77/121.14 = 35.15/x
  3. Step 3: Cross multiply
    80.77x = 121.14 × 35.15
  4. Step 4: Simplify right side
    80.77x = 4,258.07
  5. Step 5: Solve for x
    x = 4,258.07/80.77
  6. Step 6: Final answer
    x = 52.72

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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.