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Finding the Fourth Proportional to 83.05, 114.45 and 59.70

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Solution

The fourth proportional to 83.05, 114.45 and 59.70 is: 82.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.05 : 114.45 = 59.70 : x
  2. Step 2: Convert to fraction form
    83.05/114.45 = 59.70/x
  3. Step 3: Cross multiply
    83.05x = 114.45 × 59.70
  4. Step 4: Simplify right side
    83.05x = 6,832.09
  5. Step 5: Solve for x
    x = 6,832.09/83.05
  6. Step 6: Final answer
    x = 82.26

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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.