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Finding the Fourth Proportional to 56.83, 78.43 and 36.11

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Solution

The fourth proportional to 56.83, 78.43 and 36.11 is: 49.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.83 : 78.43 = 36.11 : x
  2. Step 2: Convert to fraction form
    56.83/78.43 = 36.11/x
  3. Step 3: Cross multiply
    56.83x = 78.43 × 36.11
  4. Step 4: Simplify right side
    56.83x = 2,832.11
  5. Step 5: Solve for x
    x = 2,832.11/56.83
  6. Step 6: Final answer
    x = 49.83

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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.