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Finding the Fourth Proportional to 107.89, 149.06 and 101.05

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Solution

The fourth proportional to 107.89, 149.06 and 101.05 is: 139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.89 : 149.06 = 101.05 : x
  2. Step 2: Convert to fraction form
    107.89/149.06 = 101.05/x
  3. Step 3: Cross multiply
    107.89x = 149.06 × 101.05
  4. Step 4: Simplify right side
    107.89x = 15,062.39
  5. Step 5: Solve for x
    x = 15,062.39/107.89
  6. Step 6: Final answer
    x = 139.61

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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.