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Finding the Fourth Proportional to 101.36, 139.70 and 83

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Solution

The fourth proportional to 101.36, 139.70 and 83 is: 114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.36 : 139.70 = 83 : x
  2. Step 2: Convert to fraction form
    101.36/139.70 = 83/x
  3. Step 3: Cross multiply
    101.36x = 139.70 × 83
  4. Step 4: Simplify right side
    101.36x = 11,595.10
  5. Step 5: Solve for x
    x = 11,595.10/101.36
  6. Step 6: Final answer
    x = 114.40

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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.