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Finding the Fourth Proportional to 85.61, 128.42 and 24.75

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Solution

The fourth proportional to 85.61, 128.42 and 24.75 is: 37.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.61 : 128.42 = 24.75 : x
  2. Step 2: Convert to fraction form
    85.61/128.42 = 24.75/x
  3. Step 3: Cross multiply
    85.61x = 128.42 × 24.75
  4. Step 4: Simplify right side
    85.61x = 3,177.78
  5. Step 5: Solve for x
    x = 3,177.78/85.61
  6. Step 6: Final answer
    x = 37.12

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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.