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Finding the Fourth Proportional to 101.52, 140.13 and 83.16

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Solution

The fourth proportional to 101.52, 140.13 and 83.16 is: 114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.52 : 140.13 = 83.16 : x
  2. Step 2: Convert to fraction form
    101.52/140.13 = 83.16/x
  3. Step 3: Cross multiply
    101.52x = 140.13 × 83.16
  4. Step 4: Simplify right side
    101.52x = 11,653.21
  5. Step 5: Solve for x
    x = 11,653.21/101.52
  6. Step 6: Final answer
    x = 114.79

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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.