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Finding the Fourth Proportional to 158.96, 219.43 and 109.42

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Solution

The fourth proportional to 158.96, 219.43 and 109.42 is: 151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.96 : 219.43 = 109.42 : x
  2. Step 2: Convert to fraction form
    158.96/219.43 = 109.42/x
  3. Step 3: Cross multiply
    158.96x = 219.43 × 109.42
  4. Step 4: Simplify right side
    158.96x = 24,009.00
  5. Step 5: Solve for x
    x = 24,009.00/158.96
  6. Step 6: Final answer
    x = 151.04

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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.