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Finding the Fourth Proportional to 115.34, 158.96 and 84.20

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Solution

The fourth proportional to 115.34, 158.96 and 84.20 is: 116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.34 : 158.96 = 84.20 : x
  2. Step 2: Convert to fraction form
    115.34/158.96 = 84.20/x
  3. Step 3: Cross multiply
    115.34x = 158.96 × 84.20
  4. Step 4: Simplify right side
    115.34x = 13,383.22
  5. Step 5: Solve for x
    x = 13,383.22/115.34
  6. Step 6: Final answer
    x = 116.04

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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.