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Finding the Fourth Proportional to 142.87, 196.95 and 96.16

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Solution

The fourth proportional to 142.87, 196.95 and 96.16 is: 132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.87 : 196.95 = 96.16 : x
  2. Step 2: Convert to fraction form
    142.87/196.95 = 96.16/x
  3. Step 3: Cross multiply
    142.87x = 196.95 × 96.16
  4. Step 4: Simplify right side
    142.87x = 18,938.71
  5. Step 5: Solve for x
    x = 18,938.71/142.87
  6. Step 6: Final answer
    x = 132.56

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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.