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Finding the Fourth Proportional to 67.90, 94.22 and 65.26

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Solution

The fourth proportional to 67.90, 94.22 and 65.26 is: 90.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.90 : 94.22 = 65.26 : x
  2. Step 2: Convert to fraction form
    67.90/94.22 = 65.26/x
  3. Step 3: Cross multiply
    67.90x = 94.22 × 65.26
  4. Step 4: Simplify right side
    67.90x = 6,148.80
  5. Step 5: Solve for x
    x = 6,148.80/67.90
  6. Step 6: Final answer
    x = 90.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.