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Finding the Fourth Proportional to 85.38, 127.37 and 83.22

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Solution

The fourth proportional to 85.38, 127.37 and 83.22 is: 124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.38 : 127.37 = 83.22 : x
  2. Step 2: Convert to fraction form
    85.38/127.37 = 83.22/x
  3. Step 3: Cross multiply
    85.38x = 127.37 × 83.22
  4. Step 4: Simplify right side
    85.38x = 10,599.32
  5. Step 5: Solve for x
    x = 10,599.32/85.38
  6. Step 6: Final answer
    x = 124.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.