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Finding the Fourth Proportional to 67.70, 92.69 and 65.36

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Solution

The fourth proportional to 67.70, 92.69 and 65.36 is: 89.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.70 : 92.69 = 65.36 : x
  2. Step 2: Convert to fraction form
    67.70/92.69 = 65.36/x
  3. Step 3: Cross multiply
    67.70x = 92.69 × 65.36
  4. Step 4: Simplify right side
    67.70x = 6,057.43
  5. Step 5: Solve for x
    x = 6,057.43/67.70
  6. Step 6: Final answer
    x = 89.48

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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.