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Finding the Fourth Proportional to 85.76, 128.64 and 61.73

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Solution

The fourth proportional to 85.76, 128.64 and 61.73 is: 92.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.76 : 128.64 = 61.73 : x
  2. Step 2: Convert to fraction form
    85.76/128.64 = 61.73/x
  3. Step 3: Cross multiply
    85.76x = 128.64 × 61.73
  4. Step 4: Simplify right side
    85.76x = 7,940.95
  5. Step 5: Solve for x
    x = 7,940.95/85.76
  6. Step 6: Final answer
    x = 92.60

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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.