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Finding the Fourth Proportional to 104.49, 144.25 and 67.16

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Solution

The fourth proportional to 104.49, 144.25 and 67.16 is: 92.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.49 : 144.25 = 67.16 : x
  2. Step 2: Convert to fraction form
    104.49/144.25 = 67.16/x
  3. Step 3: Cross multiply
    104.49x = 144.25 × 67.16
  4. Step 4: Simplify right side
    104.49x = 9,688.02
  5. Step 5: Solve for x
    x = 9,688.02/104.49
  6. Step 6: Final answer
    x = 92.72

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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.