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Finding the Fourth Proportional to 142.14, 196.36 and 109.81

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Solution

The fourth proportional to 142.14, 196.36 and 109.81 is: 151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.14 : 196.36 = 109.81 : x
  2. Step 2: Convert to fraction form
    142.14/196.36 = 109.81/x
  3. Step 3: Cross multiply
    142.14x = 196.36 × 109.81
  4. Step 4: Simplify right side
    142.14x = 21,562.26
  5. Step 5: Solve for x
    x = 21,562.26/142.14
  6. Step 6: Final answer
    x = 151.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.