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Finding the Fourth Proportional to 107.12, 159.68 and 101.44

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Solution

The fourth proportional to 107.12, 159.68 and 101.44 is: 151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.12 : 159.68 = 101.44 : x
  2. Step 2: Convert to fraction form
    107.12/159.68 = 101.44/x
  3. Step 3: Cross multiply
    107.12x = 159.68 × 101.44
  4. Step 4: Simplify right side
    107.12x = 16,197.94
  5. Step 5: Solve for x
    x = 16,197.94/107.12
  6. Step 6: Final answer
    x = 151.21

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