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Finding the Fourth Proportional to 56.86, 78.46 and 33.23

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Solution

The fourth proportional to 56.86, 78.46 and 33.23 is: 45.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.86 : 78.46 = 33.23 : x
  2. Step 2: Convert to fraction form
    56.86/78.46 = 33.23/x
  3. Step 3: Cross multiply
    56.86x = 78.46 × 33.23
  4. Step 4: Simplify right side
    56.86x = 2,607.23
  5. Step 5: Solve for x
    x = 2,607.23/56.86
  6. Step 6: Final answer
    x = 45.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.