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Finding the Fourth Proportional to 56.86, 78.44 and 40.46

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Solution

The fourth proportional to 56.86, 78.44 and 40.46 is: 55.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.86 : 78.44 = 40.46 : x
  2. Step 2: Convert to fraction form
    56.86/78.44 = 40.46/x
  3. Step 3: Cross multiply
    56.86x = 78.44 × 40.46
  4. Step 4: Simplify right side
    56.86x = 3,173.09
  5. Step 5: Solve for x
    x = 3,173.09/56.86
  6. Step 6: Final answer
    x = 55.81

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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.