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Finding the Fourth Proportional to 104.34, 144.06 and 67.52

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Solution

The fourth proportional to 104.34, 144.06 and 67.52 is: 93.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.34 : 144.06 = 67.52 : x
  2. Step 2: Convert to fraction form
    104.34/144.06 = 67.52/x
  3. Step 3: Cross multiply
    104.34x = 144.06 × 67.52
  4. Step 4: Simplify right side
    104.34x = 9,726.93
  5. Step 5: Solve for x
    x = 9,726.93/104.34
  6. Step 6: Final answer
    x = 93.22

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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.