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Finding the Fourth Proportional to 142.32, 196.44 and 84.14

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Solution

The fourth proportional to 142.32, 196.44 and 84.14 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 196.44 = 84.14 : x
  2. Step 2: Convert to fraction form
    142.32/196.44 = 84.14/x
  3. Step 3: Cross multiply
    142.32x = 196.44 × 84.14
  4. Step 4: Simplify right side
    142.32x = 16,528.46
  5. Step 5: Solve for x
    x = 16,528.46/142.32
  6. Step 6: Final answer
    x = 116.14

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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.