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Finding the Fourth Proportional to 84.85, 117.04 and 55.33

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Solution

The fourth proportional to 84.85, 117.04 and 55.33 is: 76.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.85 : 117.04 = 55.33 : x
  2. Step 2: Convert to fraction form
    84.85/117.04 = 55.33/x
  3. Step 3: Cross multiply
    84.85x = 117.04 × 55.33
  4. Step 4: Simplify right side
    84.85x = 6,475.82
  5. Step 5: Solve for x
    x = 6,475.82/84.85
  6. Step 6: Final answer
    x = 76.32

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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.