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Finding the Fourth Proportional to 101.34, 139.81 and 82.91

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Solution

The fourth proportional to 101.34, 139.81 and 82.91 is: 114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.34 : 139.81 = 82.91 : x
  2. Step 2: Convert to fraction form
    101.34/139.81 = 82.91/x
  3. Step 3: Cross multiply
    101.34x = 139.81 × 82.91
  4. Step 4: Simplify right side
    101.34x = 11,592.10
  5. Step 5: Solve for x
    x = 11,592.10/101.34
  6. Step 6: Final answer
    x = 114.39

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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.