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Finding the Fourth Proportional to 159.30, 219.86 and 106.88

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Solution

The fourth proportional to 159.30, 219.86 and 106.88 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.30 : 219.86 = 106.88 : x
  2. Step 2: Convert to fraction form
    159.30/219.86 = 106.88/x
  3. Step 3: Cross multiply
    159.30x = 219.86 × 106.88
  4. Step 4: Simplify right side
    159.30x = 23,498.64
  5. Step 5: Solve for x
    x = 23,498.64/159.30
  6. Step 6: Final answer
    x = 147.51

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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.