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Finding the Fourth Proportional to 115.22, 159.21 and 87.54

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Solution

The fourth proportional to 115.22, 159.21 and 87.54 is: 120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.22 : 159.21 = 87.54 : x
  2. Step 2: Convert to fraction form
    115.22/159.21 = 87.54/x
  3. Step 3: Cross multiply
    115.22x = 159.21 × 87.54
  4. Step 4: Simplify right side
    115.22x = 13,937.24
  5. Step 5: Solve for x
    x = 13,937.24/115.22
  6. Step 6: Final answer
    x = 120.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.