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Finding the Fourth Proportional to 84.92, 117.20 and 59

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Solution

The fourth proportional to 84.92, 117.20 and 59 is: 81.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.92 : 117.20 = 59 : x
  2. Step 2: Convert to fraction form
    84.92/117.20 = 59/x
  3. Step 3: Cross multiply
    84.92x = 117.20 × 59
  4. Step 4: Simplify right side
    84.92x = 6,914.51
  5. Step 5: Solve for x
    x = 6,914.51/84.92
  6. Step 6: Final answer
    x = 81.42

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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.