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Finding the Fourth Proportional to 124.23, 171.46 and 82.77

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Solution

The fourth proportional to 124.23, 171.46 and 82.77 is: 114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.23 : 171.46 = 82.77 : x
  2. Step 2: Convert to fraction form
    124.23/171.46 = 82.77/x
  3. Step 3: Cross multiply
    124.23x = 171.46 × 82.77
  4. Step 4: Simplify right side
    124.23x = 14,191.54
  5. Step 5: Solve for x
    x = 14,191.54/124.23
  6. Step 6: Final answer
    x = 114.24

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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.