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Finding the Fourth Proportional to 109.57, 151.12 and 68.05

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Solution

The fourth proportional to 109.57, 151.12 and 68.05 is: 93.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.57 : 151.12 = 68.05 : x
  2. Step 2: Convert to fraction form
    109.57/151.12 = 68.05/x
  3. Step 3: Cross multiply
    109.57x = 151.12 × 68.05
  4. Step 4: Simplify right side
    109.57x = 10,283.14
  5. Step 5: Solve for x
    x = 10,283.14/109.57
  6. Step 6: Final answer
    x = 93.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.