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Finding the Fourth Proportional to 95.76, 132.22 and 71.22

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Solution

The fourth proportional to 95.76, 132.22 and 71.22 is: 98.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.76 : 132.22 = 71.22 : x
  2. Step 2: Convert to fraction form
    95.76/132.22 = 71.22/x
  3. Step 3: Cross multiply
    95.76x = 132.22 × 71.22
  4. Step 4: Simplify right side
    95.76x = 9,416.71
  5. Step 5: Solve for x
    x = 9,416.71/95.76
  6. Step 6: Final answer
    x = 98.34

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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.