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Finding the Fourth Proportional to 142.77, 197.21 and 110.43

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Solution

The fourth proportional to 142.77, 197.21 and 110.43 is: 152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.77 : 197.21 = 110.43 : x
  2. Step 2: Convert to fraction form
    142.77/197.21 = 110.43/x
  3. Step 3: Cross multiply
    142.77x = 197.21 × 110.43
  4. Step 4: Simplify right side
    142.77x = 21,777.90
  5. Step 5: Solve for x
    x = 21,777.90/142.77
  6. Step 6: Final answer
    x = 152.54

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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.