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Finding the Fourth Proportional to 142.85, 197.10 and 115.21

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Solution

The fourth proportional to 142.85, 197.10 and 115.21 is: 158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.85 : 197.10 = 115.21 : x
  2. Step 2: Convert to fraction form
    142.85/197.10 = 115.21/x
  3. Step 3: Cross multiply
    142.85x = 197.10 × 115.21
  4. Step 4: Simplify right side
    142.85x = 22,707.89
  5. Step 5: Solve for x
    x = 22,707.89/142.85
  6. Step 6: Final answer
    x = 158.96

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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.