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Finding the Fourth Proportional to 95.70, 132.24 and 71.31

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Solution

The fourth proportional to 95.70, 132.24 and 71.31 is: 98.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.70 : 132.24 = 71.31 : x
  2. Step 2: Convert to fraction form
    95.70/132.24 = 71.31/x
  3. Step 3: Cross multiply
    95.70x = 132.24 × 71.31
  4. Step 4: Simplify right side
    95.70x = 9,430.03
  5. Step 5: Solve for x
    x = 9,430.03/95.70
  6. Step 6: Final answer
    x = 98.54

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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.