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Finding the Fourth Proportional to 70.38, 105.50 and 29.75

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Solution

The fourth proportional to 70.38, 105.50 and 29.75 is: 44.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.38 : 105.50 = 29.75 : x
  2. Step 2: Convert to fraction form
    70.38/105.50 = 29.75/x
  3. Step 3: Cross multiply
    70.38x = 105.50 × 29.75
  4. Step 4: Simplify right side
    70.38x = 3,138.17
  5. Step 5: Solve for x
    x = 3,138.17/70.38
  6. Step 6: Final answer
    x = 44.59

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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.