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Finding the Fourth Proportional to 83.18, 114.76 and 70.78

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Solution

The fourth proportional to 83.18, 114.76 and 70.78 is: 97.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.18 : 114.76 = 70.78 : x
  2. Step 2: Convert to fraction form
    83.18/114.76 = 70.78/x
  3. Step 3: Cross multiply
    83.18x = 114.76 × 70.78
  4. Step 4: Simplify right side
    83.18x = 8,122.60
  5. Step 5: Solve for x
    x = 8,122.60/83.18
  6. Step 6: Final answer
    x = 97.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.