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Finding the Fourth Proportional to 95.98, 132.38 and 71.44

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Solution

The fourth proportional to 95.98, 132.38 and 71.44 is: 98.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.98 : 132.38 = 71.44 : x
  2. Step 2: Convert to fraction form
    95.98/132.38 = 71.44/x
  3. Step 3: Cross multiply
    95.98x = 132.38 × 71.44
  4. Step 4: Simplify right side
    95.98x = 9,457.23
  5. Step 5: Solve for x
    x = 9,457.23/95.98
  6. Step 6: Final answer
    x = 98.53

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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.