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Finding the Fourth Proportional to 142.77, 196.99 and 96.23

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Solution

The fourth proportional to 142.77, 196.99 and 96.23 is: 132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.77 : 196.99 = 96.23 : x
  2. Step 2: Convert to fraction form
    142.77/196.99 = 96.23/x
  3. Step 3: Cross multiply
    142.77x = 196.99 × 96.23
  4. Step 4: Simplify right side
    142.77x = 18,956.35
  5. Step 5: Solve for x
    x = 18,956.35/142.77
  6. Step 6: Final answer
    x = 132.77

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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.