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Finding the Fourth Proportional to 142.50, 196.68 and 87.24

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Solution

The fourth proportional to 142.50, 196.68 and 87.24 is: 120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.50 : 196.68 = 87.24 : x
  2. Step 2: Convert to fraction form
    142.50/196.68 = 87.24/x
  3. Step 3: Cross multiply
    142.50x = 196.68 × 87.24
  4. Step 4: Simplify right side
    142.50x = 17,158.36
  5. Step 5: Solve for x
    x = 17,158.36/142.50
  6. Step 6: Final answer
    x = 120.41

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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.