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Finding the Fourth Proportional to 85.64, 128.42 and 27.86

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Solution

The fourth proportional to 85.64, 128.42 and 27.86 is: 41.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.64 : 128.42 = 27.86 : x
  2. Step 2: Convert to fraction form
    85.64/128.42 = 27.86/x
  3. Step 3: Cross multiply
    85.64x = 128.42 × 27.86
  4. Step 4: Simplify right side
    85.64x = 3,577.78
  5. Step 5: Solve for x
    x = 3,577.78/85.64
  6. Step 6: Final answer
    x = 41.78

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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.