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Finding the Fourth Proportional to 85.32, 128.68 and 82.88

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Solution

The fourth proportional to 85.32, 128.68 and 82.88 is: 125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.32 : 128.68 = 82.88 : x
  2. Step 2: Convert to fraction form
    85.32/128.68 = 82.88/x
  3. Step 3: Cross multiply
    85.32x = 128.68 × 82.88
  4. Step 4: Simplify right side
    85.32x = 10,665.00
  5. Step 5: Solve for x
    x = 10,665.00/85.32
  6. Step 6: Final answer
    x = 125.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.