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Finding the Fourth Proportional to 81.57, 121.80 and 70.14

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Solution

The fourth proportional to 81.57, 121.80 and 70.14 is: 104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.57 : 121.80 = 70.14 : x
  2. Step 2: Convert to fraction form
    81.57/121.80 = 70.14/x
  3. Step 3: Cross multiply
    81.57x = 121.80 × 70.14
  4. Step 4: Simplify right side
    81.57x = 8,543.05
  5. Step 5: Solve for x
    x = 8,543.05/81.57
  6. Step 6: Final answer
    x = 104.73

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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.