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Finding the Fourth Proportional to 159.24, 219.75 and 124.31

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Solution

The fourth proportional to 159.24, 219.75 and 124.31 is: 171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.24 : 219.75 = 124.31 : x
  2. Step 2: Convert to fraction form
    159.24/219.75 = 124.31/x
  3. Step 3: Cross multiply
    159.24x = 219.75 × 124.31
  4. Step 4: Simplify right side
    159.24x = 27,316.02
  5. Step 5: Solve for x
    x = 27,316.02/159.24
  6. Step 6: Final answer
    x = 171.54

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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.