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Finding the Fourth Proportional to 67.90, 93.20 and 65.44

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Solution

The fourth proportional to 67.90, 93.20 and 65.44 is: 89.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.90 : 93.20 = 65.44 : x
  2. Step 2: Convert to fraction form
    67.90/93.20 = 65.44/x
  3. Step 3: Cross multiply
    67.90x = 93.20 × 65.44
  4. Step 4: Simplify right side
    67.90x = 6,099.01
  5. Step 5: Solve for x
    x = 6,099.01/67.90
  6. Step 6: Final answer
    x = 89.82

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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.