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Finding the Fourth Proportional to 107.60, 161.44 and 77.36

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Solution

The fourth proportional to 107.60, 161.44 and 77.36 is: 116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.60 : 161.44 = 77.36 : x
  2. Step 2: Convert to fraction form
    107.60/161.44 = 77.36/x
  3. Step 3: Cross multiply
    107.60x = 161.44 × 77.36
  4. Step 4: Simplify right side
    107.60x = 12,488.00
  5. Step 5: Solve for x
    x = 12,488.00/107.60
  6. Step 6: Final answer
    x = 116.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.