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Finding the Fourth Proportional to 85.09, 127.31 and 51.57

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Solution

The fourth proportional to 85.09, 127.31 and 51.57 is: 77.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.09 : 127.31 = 51.57 : x
  2. Step 2: Convert to fraction form
    85.09/127.31 = 51.57/x
  3. Step 3: Cross multiply
    85.09x = 127.31 × 51.57
  4. Step 4: Simplify right side
    85.09x = 6,565.98
  5. Step 5: Solve for x
    x = 6,565.98/85.09
  6. Step 6: Final answer
    x = 77.16

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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.