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Finding the Fourth Proportional to 95.75, 143.54 and 75.55

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Solution

The fourth proportional to 95.75, 143.54 and 75.55 is: 113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.75 : 143.54 = 75.55 : x
  2. Step 2: Convert to fraction form
    95.75/143.54 = 75.55/x
  3. Step 3: Cross multiply
    95.75x = 143.54 × 75.55
  4. Step 4: Simplify right side
    95.75x = 10,844.45
  5. Step 5: Solve for x
    x = 10,844.45/95.75
  6. Step 6: Final answer
    x = 113.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.