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Finding the Fourth Proportional to 142.52, 196.88 and 111.52

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Solution

The fourth proportional to 142.52, 196.88 and 111.52 is: 154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.52 : 196.88 = 111.52 : x
  2. Step 2: Convert to fraction form
    142.52/196.88 = 111.52/x
  3. Step 3: Cross multiply
    142.52x = 196.88 × 111.52
  4. Step 4: Simplify right side
    142.52x = 21,956.06
  5. Step 5: Solve for x
    x = 21,956.06/142.52
  6. Step 6: Final answer
    x = 154.06

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