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Finding the Fourth Proportional to 85.24, 127.01 and 81.76

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Solution

The fourth proportional to 85.24, 127.01 and 81.76 is: 121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.24 : 127.01 = 81.76 : x
  2. Step 2: Convert to fraction form
    85.24/127.01 = 81.76/x
  3. Step 3: Cross multiply
    85.24x = 127.01 × 81.76
  4. Step 4: Simplify right side
    85.24x = 10,384.34
  5. Step 5: Solve for x
    x = 10,384.34/85.24
  6. Step 6: Final answer
    x = 121.82

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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.