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Finding the Fourth Proportional to 140.56, 192.85 and 128.22

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Solution

The fourth proportional to 140.56, 192.85 and 128.22 is: 175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.56 : 192.85 = 128.22 : x
  2. Step 2: Convert to fraction form
    140.56/192.85 = 128.22/x
  3. Step 3: Cross multiply
    140.56x = 192.85 × 128.22
  4. Step 4: Simplify right side
    140.56x = 24,727.23
  5. Step 5: Solve for x
    x = 24,727.23/140.56
  6. Step 6: Final answer
    x = 175.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.