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Finding the Fourth Proportional to 85.03, 127.42 and 83.01

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Solution

The fourth proportional to 85.03, 127.42 and 83.01 is: 124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.03 : 127.42 = 83.01 : x
  2. Step 2: Convert to fraction form
    85.03/127.42 = 83.01/x
  3. Step 3: Cross multiply
    85.03x = 127.42 × 83.01
  4. Step 4: Simplify right side
    85.03x = 10,577.13
  5. Step 5: Solve for x
    x = 10,577.13/85.03
  6. Step 6: Final answer
    x = 124.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.