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Finding the Fourth Proportional to 85.19, 117.60 and 83.39

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Solution

The fourth proportional to 85.19, 117.60 and 83.39 is: 115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.19 : 117.60 = 83.39 : x
  2. Step 2: Convert to fraction form
    85.19/117.60 = 83.39/x
  3. Step 3: Cross multiply
    85.19x = 117.60 × 83.39
  4. Step 4: Simplify right side
    85.19x = 9,806.66
  5. Step 5: Solve for x
    x = 9,806.66/85.19
  6. Step 6: Final answer
    x = 115.12

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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.