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Finding the Fourth Proportional to 107.26, 160.75 and 81.50

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Solution

The fourth proportional to 107.26, 160.75 and 81.50 is: 122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.26 : 160.75 = 81.50 : x
  2. Step 2: Convert to fraction form
    107.26/160.75 = 81.50/x
  3. Step 3: Cross multiply
    107.26x = 160.75 × 81.50
  4. Step 4: Simplify right side
    107.26x = 13,101.13
  5. Step 5: Solve for x
    x = 13,101.13/107.26
  6. Step 6: Final answer
    x = 122.14

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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.