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Finding the Fourth Proportional to 95.54, 142.43 and 94.46

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Solution

The fourth proportional to 95.54, 142.43 and 94.46 is: 140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.54 : 142.43 = 94.46 : x
  2. Step 2: Convert to fraction form
    95.54/142.43 = 94.46/x
  3. Step 3: Cross multiply
    95.54x = 142.43 × 94.46
  4. Step 4: Simplify right side
    95.54x = 13,452.75
  5. Step 5: Solve for x
    x = 13,452.75/95.54
  6. Step 6: Final answer
    x = 140.81

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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.