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Finding the Fourth Proportional to 159.13, 219.49 and 120.25

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Solution

The fourth proportional to 159.13, 219.49 and 120.25 is: 165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.13 : 219.49 = 120.25 : x
  2. Step 2: Convert to fraction form
    159.13/219.49 = 120.25/x
  3. Step 3: Cross multiply
    159.13x = 219.49 × 120.25
  4. Step 4: Simplify right side
    159.13x = 26,393.67
  5. Step 5: Solve for x
    x = 26,393.67/159.13
  6. Step 6: Final answer
    x = 165.86

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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.