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Finding the Fourth Proportional to 95.50, 131.80 and 69.64

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Solution

The fourth proportional to 95.50, 131.80 and 69.64 is: 96.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.50 : 131.80 = 69.64 : x
  2. Step 2: Convert to fraction form
    95.50/131.80 = 69.64/x
  3. Step 3: Cross multiply
    95.50x = 131.80 × 69.64
  4. Step 4: Simplify right side
    95.50x = 9,178.55
  5. Step 5: Solve for x
    x = 9,178.55/95.50
  6. Step 6: Final answer
    x = 96.11

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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.