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Finding the Fourth Proportional to 85.59, 128.24 and 71.24

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Solution

The fourth proportional to 85.59, 128.24 and 71.24 is: 106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.59 : 128.24 = 71.24 : x
  2. Step 2: Convert to fraction form
    85.59/128.24 = 71.24/x
  3. Step 3: Cross multiply
    85.59x = 128.24 × 71.24
  4. Step 4: Simplify right side
    85.59x = 9,134.82
  5. Step 5: Solve for x
    x = 9,134.82/85.59
  6. Step 6: Final answer
    x = 106.73

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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.