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Finding the Fourth Proportional to 83.59, 115.31 and 52.05

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Solution

The fourth proportional to 83.59, 115.31 and 52.05 is: 71.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.59 : 115.31 = 52.05 : x
  2. Step 2: Convert to fraction form
    83.59/115.31 = 52.05/x
  3. Step 3: Cross multiply
    83.59x = 115.31 × 52.05
  4. Step 4: Simplify right side
    83.59x = 6,001.63
  5. Step 5: Solve for x
    x = 6,001.63/83.59
  6. Step 6: Final answer
    x = 71.80

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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.