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Finding the Fourth Proportional to 107.76, 159.44 and 107.44

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Solution

The fourth proportional to 107.76, 159.44 and 107.44 is: 158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.76 : 159.44 = 107.44 : x
  2. Step 2: Convert to fraction form
    107.76/159.44 = 107.44/x
  3. Step 3: Cross multiply
    107.76x = 159.44 × 107.44
  4. Step 4: Simplify right side
    107.76x = 17,130.23
  5. Step 5: Solve for x
    x = 17,130.23/107.76
  6. Step 6: Final answer
    x = 158.97

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Why These Related Problems?

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