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Finding the Fourth Proportional to 124.56, 171.98 and 77.97

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Solution

The fourth proportional to 124.56, 171.98 and 77.97 is: 107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.56 : 171.98 = 77.97 : x
  2. Step 2: Convert to fraction form
    124.56/171.98 = 77.97/x
  3. Step 3: Cross multiply
    124.56x = 171.98 × 77.97
  4. Step 4: Simplify right side
    124.56x = 13,408.89
  5. Step 5: Solve for x
    x = 13,408.89/124.56
  6. Step 6: Final answer
    x = 107.65

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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.