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Finding the Fourth Proportional to 159.04, 219.45 and 103.65

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Solution

The fourth proportional to 159.04, 219.45 and 103.65 is: 143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.04 : 219.45 = 103.65 : x
  2. Step 2: Convert to fraction form
    159.04/219.45 = 103.65/x
  3. Step 3: Cross multiply
    159.04x = 219.45 × 103.65
  4. Step 4: Simplify right side
    159.04x = 22,745.99
  5. Step 5: Solve for x
    x = 22,745.99/159.04
  6. Step 6: Final answer
    x = 143.02

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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.