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Finding the Fourth Proportional to 115.58, 159.35 and 84.39

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Solution

The fourth proportional to 115.58, 159.35 and 84.39 is: 116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.58 : 159.35 = 84.39 : x
  2. Step 2: Convert to fraction form
    115.58/159.35 = 84.39/x
  3. Step 3: Cross multiply
    115.58x = 159.35 × 84.39
  4. Step 4: Simplify right side
    115.58x = 13,447.12
  5. Step 5: Solve for x
    x = 13,447.12/115.58
  6. Step 6: Final answer
    x = 116.35

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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.