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Finding the Fourth Proportional to 101.96, 139.57 and 98.68

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Solution

The fourth proportional to 101.96, 139.57 and 98.68 is: 135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.96 : 139.57 = 98.68 : x
  2. Step 2: Convert to fraction form
    101.96/139.57 = 98.68/x
  3. Step 3: Cross multiply
    101.96x = 139.57 × 98.68
  4. Step 4: Simplify right side
    101.96x = 13,772.77
  5. Step 5: Solve for x
    x = 13,772.77/101.96
  6. Step 6: Final answer
    x = 135.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.