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Finding the Fourth Proportional to 70.81, 106.17 and 25.14

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Solution

The fourth proportional to 70.81, 106.17 and 25.14 is: 37.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.81 : 106.17 = 25.14 : x
  2. Step 2: Convert to fraction form
    70.81/106.17 = 25.14/x
  3. Step 3: Cross multiply
    70.81x = 106.17 × 25.14
  4. Step 4: Simplify right side
    70.81x = 2,668.96
  5. Step 5: Solve for x
    x = 2,668.96/70.81
  6. Step 6: Final answer
    x = 37.69

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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.