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Finding the Fourth Proportional to 95.96, 143.39 and 75.47

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Solution

The fourth proportional to 95.96, 143.39 and 75.47 is: 112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.96 : 143.39 = 75.47 : x
  2. Step 2: Convert to fraction form
    95.96/143.39 = 75.47/x
  3. Step 3: Cross multiply
    95.96x = 143.39 × 75.47
  4. Step 4: Simplify right side
    95.96x = 10,820.55
  5. Step 5: Solve for x
    x = 10,820.55/95.96
  6. Step 6: Final answer
    x = 112.77

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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.