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Finding the Fourth Proportional to 115.22, 171.65 and 107.33

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Solution

The fourth proportional to 115.22, 171.65 and 107.33 is: 159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.22 : 171.65 = 107.33 : x
  2. Step 2: Convert to fraction form
    115.22/171.65 = 107.33/x
  3. Step 3: Cross multiply
    115.22x = 171.65 × 107.33
  4. Step 4: Simplify right side
    115.22x = 18,422.60
  5. Step 5: Solve for x
    x = 18,422.60/115.22
  6. Step 6: Final answer
    x = 159.89

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Why These Related Problems?

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