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Finding the Fourth Proportional to 84.19, 116.24 and 55.09

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Solution

The fourth proportional to 84.19, 116.24 and 55.09 is: 76.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.19 : 116.24 = 55.09 : x
  2. Step 2: Convert to fraction form
    84.19/116.24 = 55.09/x
  3. Step 3: Cross multiply
    84.19x = 116.24 × 55.09
  4. Step 4: Simplify right side
    84.19x = 6,403.66
  5. Step 5: Solve for x
    x = 6,403.66/84.19
  6. Step 6: Final answer
    x = 76.06

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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.