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Finding the Fourth Proportional to 101.55, 140.06 and 83.09

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Solution

The fourth proportional to 101.55, 140.06 and 83.09 is: 114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.55 : 140.06 = 83.09 : x
  2. Step 2: Convert to fraction form
    101.55/140.06 = 83.09/x
  3. Step 3: Cross multiply
    101.55x = 140.06 × 83.09
  4. Step 4: Simplify right side
    101.55x = 11,638.14
  5. Step 5: Solve for x
    x = 11,638.14/101.55
  6. Step 6: Final answer
    x = 114.60

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Why These Related Problems?

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