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Finding the Fourth Proportional to 95.26, 131.44 and 53.82

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Solution

The fourth proportional to 95.26, 131.44 and 53.82 is: 74.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.26 : 131.44 = 53.82 : x
  2. Step 2: Convert to fraction form
    95.26/131.44 = 53.82/x
  3. Step 3: Cross multiply
    95.26x = 131.44 × 53.82
  4. Step 4: Simplify right side
    95.26x = 7,074.10
  5. Step 5: Solve for x
    x = 7,074.10/95.26
  6. Step 6: Final answer
    x = 74.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.