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Finding the Fourth Proportional to 104.96, 158.18 and 100.82

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Solution

The fourth proportional to 104.96, 158.18 and 100.82 is: 151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.96 : 158.18 = 100.82 : x
  2. Step 2: Convert to fraction form
    104.96/158.18 = 100.82/x
  3. Step 3: Cross multiply
    104.96x = 158.18 × 100.82
  4. Step 4: Simplify right side
    104.96x = 15,947.71
  5. Step 5: Solve for x
    x = 15,947.71/104.96
  6. Step 6: Final answer
    x = 151.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.