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Finding the Fourth Proportional to 140.14, 210.36 and 110.04

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Solution

The fourth proportional to 140.14, 210.36 and 110.04 is: 165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.14 : 210.36 = 110.04 : x
  2. Step 2: Convert to fraction form
    140.14/210.36 = 110.04/x
  3. Step 3: Cross multiply
    140.14x = 210.36 × 110.04
  4. Step 4: Simplify right side
    140.14x = 23,148.01
  5. Step 5: Solve for x
    x = 23,148.01/140.14
  6. Step 6: Final answer
    x = 165.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.