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Finding the Fourth Proportional to 142.28, 196.58 and 113.12

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Solution

The fourth proportional to 142.28, 196.58 and 113.12 is: 156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.28 : 196.58 = 113.12 : x
  2. Step 2: Convert to fraction form
    142.28/196.58 = 113.12/x
  3. Step 3: Cross multiply
    142.28x = 196.58 × 113.12
  4. Step 4: Simplify right side
    142.28x = 22,237.13
  5. Step 5: Solve for x
    x = 22,237.13/142.28
  6. Step 6: Final answer
    x = 156.29

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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.