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Finding the Fourth Proportional to 68.24, 102.38 and 29.74

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Solution

The fourth proportional to 68.24, 102.38 and 29.74 is: 44.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.24 : 102.38 = 29.74 : x
  2. Step 2: Convert to fraction form
    68.24/102.38 = 29.74/x
  3. Step 3: Cross multiply
    68.24x = 102.38 × 29.74
  4. Step 4: Simplify right side
    68.24x = 3,044.78
  5. Step 5: Solve for x
    x = 3,044.78/68.24
  6. Step 6: Final answer
    x = 44.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.