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Finding the Fourth Proportional to 142.24, 196.40 and 95.76

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Solution

The fourth proportional to 142.24, 196.40 and 95.76 is: 132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.24 : 196.40 = 95.76 : x
  2. Step 2: Convert to fraction form
    142.24/196.40 = 95.76/x
  3. Step 3: Cross multiply
    142.24x = 196.40 × 95.76
  4. Step 4: Simplify right side
    142.24x = 18,807.26
  5. Step 5: Solve for x
    x = 18,807.26/142.24
  6. Step 6: Final answer
    x = 132.22

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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.