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Finding the Fourth Proportional to 56.80, 78.24 and 40.42

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Solution

The fourth proportional to 56.80, 78.24 and 40.42 is: 55.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.80 : 78.24 = 40.42 : x
  2. Step 2: Convert to fraction form
    56.80/78.24 = 40.42/x
  3. Step 3: Cross multiply
    56.80x = 78.24 × 40.42
  4. Step 4: Simplify right side
    56.80x = 3,162.46
  5. Step 5: Solve for x
    x = 3,162.46/56.80
  6. Step 6: Final answer
    x = 55.68

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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.