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Finding the Fourth Proportional to 85.82, 128.54 and 71.34

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Solution

The fourth proportional to 85.82, 128.54 and 71.34 is: 106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.82 : 128.54 = 71.34 : x
  2. Step 2: Convert to fraction form
    85.82/128.54 = 71.34/x
  3. Step 3: Cross multiply
    85.82x = 128.54 × 71.34
  4. Step 4: Simplify right side
    85.82x = 9,170.04
  5. Step 5: Solve for x
    x = 9,170.04/85.82
  6. Step 6: Final answer
    x = 106.85

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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.