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Finding the Fourth Proportional to 159.06, 219.47 and 109.86

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Solution

The fourth proportional to 159.06, 219.47 and 109.86 is: 151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.06 : 219.47 = 109.86 : x
  2. Step 2: Convert to fraction form
    159.06/219.47 = 109.86/x
  3. Step 3: Cross multiply
    159.06x = 219.47 × 109.86
  4. Step 4: Simplify right side
    159.06x = 24,110.42
  5. Step 5: Solve for x
    x = 24,110.42/159.06
  6. Step 6: Final answer
    x = 151.58

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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.