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Finding the Fourth Proportional to 101.40, 139.50 and 82.94

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Solution

The fourth proportional to 101.40, 139.50 and 82.94 is: 114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.40 : 139.50 = 82.94 : x
  2. Step 2: Convert to fraction form
    101.40/139.50 = 82.94/x
  3. Step 3: Cross multiply
    101.40x = 139.50 × 82.94
  4. Step 4: Simplify right side
    101.40x = 11,570.13
  5. Step 5: Solve for x
    x = 11,570.13/101.40
  6. Step 6: Final answer
    x = 114.10

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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.