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Finding the Fourth Proportional to 142.78, 197.12 and 107.87

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Solution

The fourth proportional to 142.78, 197.12 and 107.87 is: 148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.78 : 197.12 = 107.87 : x
  2. Step 2: Convert to fraction form
    142.78/197.12 = 107.87/x
  3. Step 3: Cross multiply
    142.78x = 197.12 × 107.87
  4. Step 4: Simplify right side
    142.78x = 21,263.33
  5. Step 5: Solve for x
    x = 21,263.33/142.78
  6. Step 6: Final answer
    x = 148.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.