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Finding the Fourth Proportional to 70.18, 105.20 and 38.14

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Solution

The fourth proportional to 70.18, 105.20 and 38.14 is: 57.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.18 : 105.20 = 38.14 : x
  2. Step 2: Convert to fraction form
    70.18/105.20 = 38.14/x
  3. Step 3: Cross multiply
    70.18x = 105.20 × 38.14
  4. Step 4: Simplify right side
    70.18x = 4,012.33
  5. Step 5: Solve for x
    x = 4,012.33/70.18
  6. Step 6: Final answer
    x = 57.17

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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.