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Finding the Fourth Proportional to 56.79, 78.30 and 41.22

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Solution

The fourth proportional to 56.79, 78.30 and 41.22 is: 56.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.79 : 78.30 = 41.22 : x
  2. Step 2: Convert to fraction form
    56.79/78.30 = 41.22/x
  3. Step 3: Cross multiply
    56.79x = 78.30 × 41.22
  4. Step 4: Simplify right side
    56.79x = 3,227.53
  5. Step 5: Solve for x
    x = 3,227.53/56.79
  6. Step 6: Final answer
    x = 56.83

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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.