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Finding the Fourth Proportional to 95.84, 132.26 and 54.38

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Solution

The fourth proportional to 95.84, 132.26 and 54.38 is: 75.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.84 : 132.26 = 54.38 : x
  2. Step 2: Convert to fraction form
    95.84/132.26 = 54.38/x
  3. Step 3: Cross multiply
    95.84x = 132.26 × 54.38
  4. Step 4: Simplify right side
    95.84x = 7,192.30
  5. Step 5: Solve for x
    x = 7,192.30/95.84
  6. Step 6: Final answer
    x = 75.04

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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.