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Finding the Fourth Proportional to 85.75, 127.61 and 81.52

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Solution

The fourth proportional to 85.75, 127.61 and 81.52 is: 121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.75 : 127.61 = 81.52 : x
  2. Step 2: Convert to fraction form
    85.75/127.61 = 81.52/x
  3. Step 3: Cross multiply
    85.75x = 127.61 × 81.52
  4. Step 4: Simplify right side
    85.75x = 10,402.77
  5. Step 5: Solve for x
    x = 10,402.77/85.75
  6. Step 6: Final answer
    x = 121.32

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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.