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Finding the Fourth Proportional to 124.19, 171.33 and 85.31

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Solution

The fourth proportional to 124.19, 171.33 and 85.31 is: 117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.19 : 171.33 = 85.31 : x
  2. Step 2: Convert to fraction form
    124.19/171.33 = 85.31/x
  3. Step 3: Cross multiply
    124.19x = 171.33 × 85.31
  4. Step 4: Simplify right side
    124.19x = 14,616.27
  5. Step 5: Solve for x
    x = 14,616.27/124.19
  6. Step 6: Final answer
    x = 117.69

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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.