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Finding the Fourth Proportional to 142.25, 196.13 and 98.57

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Solution

The fourth proportional to 142.25, 196.13 and 98.57 is: 135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.25 : 196.13 = 98.57 : x
  2. Step 2: Convert to fraction form
    142.25/196.13 = 98.57/x
  3. Step 3: Cross multiply
    142.25x = 196.13 × 98.57
  4. Step 4: Simplify right side
    142.25x = 19,331.06
  5. Step 5: Solve for x
    x = 19,331.06/142.25
  6. Step 6: Final answer
    x = 135.90

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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.