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Finding the Fourth Proportional to 109.54, 151.18 and 95.78

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Solution

The fourth proportional to 109.54, 151.18 and 95.78 is: 132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.54 : 151.18 = 95.78 : x
  2. Step 2: Convert to fraction form
    109.54/151.18 = 95.78/x
  3. Step 3: Cross multiply
    109.54x = 151.18 × 95.78
  4. Step 4: Simplify right side
    109.54x = 14,480.02
  5. Step 5: Solve for x
    x = 14,480.02/109.54
  6. Step 6: Final answer
    x = 132.19

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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.