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Finding the Fourth Proportional to 95.31, 131.58 and 65.96

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Solution

The fourth proportional to 95.31, 131.58 and 65.96 is: 91.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.31 : 131.58 = 65.96 : x
  2. Step 2: Convert to fraction form
    95.31/131.58 = 65.96/x
  3. Step 3: Cross multiply
    95.31x = 131.58 × 65.96
  4. Step 4: Simplify right side
    95.31x = 8,679.02
  5. Step 5: Solve for x
    x = 8,679.02/95.31
  6. Step 6: Final answer
    x = 91.06

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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.