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Finding the Fourth Proportional to 95.38, 142.86 and 93.52

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Solution

The fourth proportional to 95.38, 142.86 and 93.52 is: 140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.38 : 142.86 = 93.52 : x
  2. Step 2: Convert to fraction form
    95.38/142.86 = 93.52/x
  3. Step 3: Cross multiply
    95.38x = 142.86 × 93.52
  4. Step 4: Simplify right side
    95.38x = 13,360.27
  5. Step 5: Solve for x
    x = 13,360.27/95.38
  6. Step 6: Final answer
    x = 140.07

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