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Finding the Fourth Proportional to 85.09, 117.42 and 52.33

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Solution

The fourth proportional to 85.09, 117.42 and 52.33 is: 72.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.09 : 117.42 = 52.33 : x
  2. Step 2: Convert to fraction form
    85.09/117.42 = 52.33/x
  3. Step 3: Cross multiply
    85.09x = 117.42 × 52.33
  4. Step 4: Simplify right side
    85.09x = 6,144.59
  5. Step 5: Solve for x
    x = 6,144.59/85.09
  6. Step 6: Final answer
    x = 72.22

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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.