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Finding the Fourth Proportional to 70.74, 106.13 and 29.61

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Solution

The fourth proportional to 70.74, 106.13 and 29.61 is: 44.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.74 : 106.13 = 29.61 : x
  2. Step 2: Convert to fraction form
    70.74/106.13 = 29.61/x
  3. Step 3: Cross multiply
    70.74x = 106.13 × 29.61
  4. Step 4: Simplify right side
    70.74x = 3,142.51
  5. Step 5: Solve for x
    x = 3,142.51/70.74
  6. Step 6: Final answer
    x = 44.42

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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.