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Finding the Fourth Proportional to 101.65, 140.09 and 83.17

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Solution

The fourth proportional to 101.65, 140.09 and 83.17 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.65 : 140.09 = 83.17 : x
  2. Step 2: Convert to fraction form
    101.65/140.09 = 83.17/x
  3. Step 3: Cross multiply
    101.65x = 140.09 × 83.17
  4. Step 4: Simplify right side
    101.65x = 11,650.52
  5. Step 5: Solve for x
    x = 11,650.52/101.65
  6. Step 6: Final answer
    x = 114.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.