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Finding the Fourth Proportional to 84.91, 117.21 and 55.41

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Solution

The fourth proportional to 84.91, 117.21 and 55.41 is: 76.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.91 : 117.21 = 55.41 : x
  2. Step 2: Convert to fraction form
    84.91/117.21 = 55.41/x
  3. Step 3: Cross multiply
    84.91x = 117.21 × 55.41
  4. Step 4: Simplify right side
    84.91x = 6,494.61
  5. Step 5: Solve for x
    x = 6,494.61/84.91
  6. Step 6: Final answer
    x = 76.49

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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.