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Finding the Fourth Proportional to 83.31, 114.98 and 57.08

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Solution

The fourth proportional to 83.31, 114.98 and 57.08 is: 78.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.31 : 114.98 = 57.08 : x
  2. Step 2: Convert to fraction form
    83.31/114.98 = 57.08/x
  3. Step 3: Cross multiply
    83.31x = 114.98 × 57.08
  4. Step 4: Simplify right side
    83.31x = 6,562.20
  5. Step 5: Solve for x
    x = 6,562.20/83.31
  6. Step 6: Final answer
    x = 78.77

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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.