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Finding the Fourth Proportional to 124.02, 171 and 82.56

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Solution

The fourth proportional to 124.02, 171 and 82.56 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.02 : 171 = 82.56 : x
  2. Step 2: Convert to fraction form
    124.02/171 = 82.56/x
  3. Step 3: Cross multiply
    124.02x = 171 × 82.56
  4. Step 4: Simplify right side
    124.02x = 14,117.76
  5. Step 5: Solve for x
    x = 14,117.76/124.02
  6. Step 6: Final answer
    x = 113.83

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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.