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Finding the Fourth Proportional to 56.86, 85.26 and 32.84

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Solution

The fourth proportional to 56.86, 85.26 and 32.84 is: 49.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.86 : 85.26 = 32.84 : x
  2. Step 2: Convert to fraction form
    56.86/85.26 = 32.84/x
  3. Step 3: Cross multiply
    56.86x = 85.26 × 32.84
  4. Step 4: Simplify right side
    56.86x = 2,799.94
  5. Step 5: Solve for x
    x = 2,799.94/56.86
  6. Step 6: Final answer
    x = 49.24

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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.