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Finding the Fourth Proportional to 56.75, 85.16 and 24.25

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Solution

The fourth proportional to 56.75, 85.16 and 24.25 is: 36.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.75 : 85.16 = 24.25 : x
  2. Step 2: Convert to fraction form
    56.75/85.16 = 24.25/x
  3. Step 3: Cross multiply
    56.75x = 85.16 × 24.25
  4. Step 4: Simplify right side
    56.75x = 2,064.58
  5. Step 5: Solve for x
    x = 2,064.58/56.75
  6. Step 6: Final answer
    x = 36.38

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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.