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Finding the Fourth Proportional to 142.86, 197.22 and 91.14

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Solution

The fourth proportional to 142.86, 197.22 and 91.14 is: 125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.86 : 197.22 = 91.14 : x
  2. Step 2: Convert to fraction form
    142.86/197.22 = 91.14/x
  3. Step 3: Cross multiply
    142.86x = 197.22 × 91.14
  4. Step 4: Simplify right side
    142.86x = 17,974.63
  5. Step 5: Solve for x
    x = 17,974.63/142.86
  6. Step 6: Final answer
    x = 125.82

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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.