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Finding the Fourth Proportional to 101.56, 140.35 and 83.14

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Solution

The fourth proportional to 101.56, 140.35 and 83.14 is: 114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.56 : 140.35 = 83.14 : x
  2. Step 2: Convert to fraction form
    101.56/140.35 = 83.14/x
  3. Step 3: Cross multiply
    101.56x = 140.35 × 83.14
  4. Step 4: Simplify right side
    101.56x = 11,667.58
  5. Step 5: Solve for x
    x = 11,667.58/101.56
  6. Step 6: Final answer
    x = 114.88

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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.