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Finding the Fourth Proportional to 82.96, 124.54 and 65.66

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Solution

The fourth proportional to 82.96, 124.54 and 65.66 is: 98.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.96 : 124.54 = 65.66 : x
  2. Step 2: Convert to fraction form
    82.96/124.54 = 65.66/x
  3. Step 3: Cross multiply
    82.96x = 124.54 × 65.66
  4. Step 4: Simplify right side
    82.96x = 8,177.30
  5. Step 5: Solve for x
    x = 8,177.30/82.96
  6. Step 6: Final answer
    x = 98.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.