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Finding the Fourth Proportional to 158.76, 219.38 and 109.82

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Solution

The fourth proportional to 158.76, 219.38 and 109.82 is: 151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.76 : 219.38 = 109.82 : x
  2. Step 2: Convert to fraction form
    158.76/219.38 = 109.82/x
  3. Step 3: Cross multiply
    158.76x = 219.38 × 109.82
  4. Step 4: Simplify right side
    158.76x = 24,092.31
  5. Step 5: Solve for x
    x = 24,092.31/158.76
  6. Step 6: Final answer
    x = 151.75

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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.