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Finding the Fourth Proportional to 115.22, 159.02 and 84.24

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Solution

The fourth proportional to 115.22, 159.02 and 84.24 is: 116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.22 : 159.02 = 84.24 : x
  2. Step 2: Convert to fraction form
    115.22/159.02 = 84.24/x
  3. Step 3: Cross multiply
    115.22x = 159.02 × 84.24
  4. Step 4: Simplify right side
    115.22x = 13,395.84
  5. Step 5: Solve for x
    x = 13,395.84/115.22
  6. Step 6: Final answer
    x = 116.26

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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.