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Finding the Fourth Proportional to 107.08, 159.51 and 100.44

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Solution

The fourth proportional to 107.08, 159.51 and 100.44 is: 149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.08 : 159.51 = 100.44 : x
  2. Step 2: Convert to fraction form
    107.08/159.51 = 100.44/x
  3. Step 3: Cross multiply
    107.08x = 159.51 × 100.44
  4. Step 4: Simplify right side
    107.08x = 16,021.18
  5. Step 5: Solve for x
    x = 16,021.18/107.08
  6. Step 6: Final answer
    x = 149.62

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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.