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Finding the Fourth Proportional to 95.21, 142.71 and 54.02

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Solution

The fourth proportional to 95.21, 142.71 and 54.02 is: 80.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.21 : 142.71 = 54.02 : x
  2. Step 2: Convert to fraction form
    95.21/142.71 = 54.02/x
  3. Step 3: Cross multiply
    95.21x = 142.71 × 54.02
  4. Step 4: Simplify right side
    95.21x = 7,709.06
  5. Step 5: Solve for x
    x = 7,709.06/95.21
  6. Step 6: Final answer
    x = 80.97

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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.