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Finding the Fourth Proportional to 142.20, 196.20 and 105.48

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Solution

The fourth proportional to 142.20, 196.20 and 105.48 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.20 : 196.20 = 105.48 : x
  2. Step 2: Convert to fraction form
    142.20/196.20 = 105.48/x
  3. Step 3: Cross multiply
    142.20x = 196.20 × 105.48
  4. Step 4: Simplify right side
    142.20x = 20,695.18
  5. Step 5: Solve for x
    x = 20,695.18/142.20
  6. Step 6: Final answer
    x = 145.54

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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.