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Finding the Fourth Proportional to 95.07, 142.54 and 75.75

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Solution

The fourth proportional to 95.07, 142.54 and 75.75 is: 113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.07 : 142.54 = 75.75 : x
  2. Step 2: Convert to fraction form
    95.07/142.54 = 75.75/x
  3. Step 3: Cross multiply
    95.07x = 142.54 × 75.75
  4. Step 4: Simplify right side
    95.07x = 10,797.41
  5. Step 5: Solve for x
    x = 10,797.41/95.07
  6. Step 6: Final answer
    x = 113.57

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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.