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Finding the Fourth Proportional to 95.21, 131.31 and 69.16

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Solution

The fourth proportional to 95.21, 131.31 and 69.16 is: 95.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.21 : 131.31 = 69.16 : x
  2. Step 2: Convert to fraction form
    95.21/131.31 = 69.16/x
  3. Step 3: Cross multiply
    95.21x = 131.31 × 69.16
  4. Step 4: Simplify right side
    95.21x = 9,081.07
  5. Step 5: Solve for x
    x = 9,081.07/95.21
  6. Step 6: Final answer
    x = 95.38

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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.