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Finding the Fourth Proportional to 142.38, 213.66 and 109.76

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Solution

The fourth proportional to 142.38, 213.66 and 109.76 is: 164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.38 : 213.66 = 109.76 : x
  2. Step 2: Convert to fraction form
    142.38/213.66 = 109.76/x
  3. Step 3: Cross multiply
    142.38x = 213.66 × 109.76
  4. Step 4: Simplify right side
    142.38x = 23,450.25
  5. Step 5: Solve for x
    x = 23,450.25/142.38
  6. Step 6: Final answer
    x = 164.70

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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.