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Finding the Fourth Proportional to 142.59, 196.56 and 103.17

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Solution

The fourth proportional to 142.59, 196.56 and 103.17 is: 142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.59 : 196.56 = 103.17 : x
  2. Step 2: Convert to fraction form
    142.59/196.56 = 103.17/x
  3. Step 3: Cross multiply
    142.59x = 196.56 × 103.17
  4. Step 4: Simplify right side
    142.59x = 20,279.10
  5. Step 5: Solve for x
    x = 20,279.10/142.59
  6. Step 6: Final answer
    x = 142.22

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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.