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Finding the Fourth Proportional to 85.20, 127.78 and 37.06

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Solution

The fourth proportional to 85.20, 127.78 and 37.06 is: 55.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.20 : 127.78 = 37.06 : x
  2. Step 2: Convert to fraction form
    85.20/127.78 = 37.06/x
  3. Step 3: Cross multiply
    85.20x = 127.78 × 37.06
  4. Step 4: Simplify right side
    85.20x = 4,735.53
  5. Step 5: Solve for x
    x = 4,735.53/85.20
  6. Step 6: Final answer
    x = 55.58

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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.