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Finding the Fourth Proportional to 69.66, 95.63 and 67.14

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Solution

The fourth proportional to 69.66, 95.63 and 67.14 is: 92.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.66 : 95.63 = 67.14 : x
  2. Step 2: Convert to fraction form
    69.66/95.63 = 67.14/x
  3. Step 3: Cross multiply
    69.66x = 95.63 × 67.14
  4. Step 4: Simplify right side
    69.66x = 6,420.26
  5. Step 5: Solve for x
    x = 6,420.26/69.66
  6. Step 6: Final answer
    x = 92.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.