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Finding the Fourth Proportional to 142.87, 197.16 and 77.37

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Solution

The fourth proportional to 142.87, 197.16 and 77.37 is: 106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.87 : 197.16 = 77.37 : x
  2. Step 2: Convert to fraction form
    142.87/197.16 = 77.37/x
  3. Step 3: Cross multiply
    142.87x = 197.16 × 77.37
  4. Step 4: Simplify right side
    142.87x = 15,255.01
  5. Step 5: Solve for x
    x = 15,255.01/142.87
  6. Step 6: Final answer
    x = 106.77

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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.