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Finding the Fourth Proportional to 142.85, 214.13 and 97.22

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Solution

The fourth proportional to 142.85, 214.13 and 97.22 is: 145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.85 : 214.13 = 97.22 : x
  2. Step 2: Convert to fraction form
    142.85/214.13 = 97.22/x
  3. Step 3: Cross multiply
    142.85x = 214.13 × 97.22
  4. Step 4: Simplify right side
    142.85x = 20,816.75
  5. Step 5: Solve for x
    x = 20,816.75/142.85
  6. Step 6: Final answer
    x = 145.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.