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Finding the Fourth Proportional to 140.33, 210.42 and 63.29

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Solution

The fourth proportional to 140.33, 210.42 and 63.29 is: 94.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.33 : 210.42 = 63.29 : x
  2. Step 2: Convert to fraction form
    140.33/210.42 = 63.29/x
  3. Step 3: Cross multiply
    140.33x = 210.42 × 63.29
  4. Step 4: Simplify right side
    140.33x = 13,316.43
  5. Step 5: Solve for x
    x = 13,316.43/140.33
  6. Step 6: Final answer
    x = 94.90

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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.