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Finding the Fourth Proportional to 84.38, 116.26 and 55.22

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Solution

The fourth proportional to 84.38, 116.26 and 55.22 is: 76.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.38 : 116.26 = 55.22 : x
  2. Step 2: Convert to fraction form
    84.38/116.26 = 55.22/x
  3. Step 3: Cross multiply
    84.38x = 116.26 × 55.22
  4. Step 4: Simplify right side
    84.38x = 6,420.03
  5. Step 5: Solve for x
    x = 6,420.03/84.38
  6. Step 6: Final answer
    x = 76.08

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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.