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Finding the Fourth Proportional to 105.15, 156.39 and 95.97

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Solution

The fourth proportional to 105.15, 156.39 and 95.97 is: 142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.15 : 156.39 = 95.97 : x
  2. Step 2: Convert to fraction form
    105.15/156.39 = 95.97/x
  3. Step 3: Cross multiply
    105.15x = 156.39 × 95.97
  4. Step 4: Simplify right side
    105.15x = 15,008.75
  5. Step 5: Solve for x
    x = 15,008.75/105.15
  6. Step 6: Final answer
    x = 142.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.