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Finding the Fourth Proportional to 70.18, 105.33 and 34.12

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Solution

The fourth proportional to 70.18, 105.33 and 34.12 is: 51.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.18 : 105.33 = 34.12 : x
  2. Step 2: Convert to fraction form
    70.18/105.33 = 34.12/x
  3. Step 3: Cross multiply
    70.18x = 105.33 × 34.12
  4. Step 4: Simplify right side
    70.18x = 3,593.86
  5. Step 5: Solve for x
    x = 3,593.86/70.18
  6. Step 6: Final answer
    x = 51.21

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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.