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Finding the Fourth Proportional to 140.24, 192.13 and 135.05

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Solution

The fourth proportional to 140.24, 192.13 and 135.05 is: 185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.24 : 192.13 = 135.05 : x
  2. Step 2: Convert to fraction form
    140.24/192.13 = 135.05/x
  3. Step 3: Cross multiply
    140.24x = 192.13 × 135.05
  4. Step 4: Simplify right side
    140.24x = 25,945.86
  5. Step 5: Solve for x
    x = 25,945.86/140.24
  6. Step 6: Final answer
    x = 185.01

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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.