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Finding the Fourth Proportional to 107.91, 159.62 and 107.91

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Solution

The fourth proportional to 107.91, 159.62 and 107.91 is: 159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.91 : 159.62 = 107.91 : x
  2. Step 2: Convert to fraction form
    107.91/159.62 = 107.91/x
  3. Step 3: Cross multiply
    107.91x = 159.62 × 107.91
  4. Step 4: Simplify right side
    107.91x = 17,224.05
  5. Step 5: Solve for x
    x = 17,224.05/107.91
  6. Step 6: Final answer
    x = 159.62

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.