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Finding the Fourth Proportional to 107.41, 160.19 and 100.12

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Solution

The fourth proportional to 107.41, 160.19 and 100.12 is: 149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.41 : 160.19 = 100.12 : x
  2. Step 2: Convert to fraction form
    107.41/160.19 = 100.12/x
  3. Step 3: Cross multiply
    107.41x = 160.19 × 100.12
  4. Step 4: Simplify right side
    107.41x = 16,037.32
  5. Step 5: Solve for x
    x = 16,037.32/107.41
  6. Step 6: Final answer
    x = 149.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.