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Finding the Fourth Proportional to 140.12, 192.10 and 137.99

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Solution

The fourth proportional to 140.12, 192.10 and 137.99 is: 189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.12 : 192.10 = 137.99 : x
  2. Step 2: Convert to fraction form
    140.12/192.10 = 137.99/x
  3. Step 3: Cross multiply
    140.12x = 192.10 × 137.99
  4. Step 4: Simplify right side
    140.12x = 26,507.88
  5. Step 5: Solve for x
    x = 26,507.88/140.12
  6. Step 6: Final answer
    x = 189.18

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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.