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Finding the Fourth Proportional to 56.41, 77.84 and 35.42

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Solution

The fourth proportional to 56.41, 77.84 and 35.42 is: 48.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.41 : 77.84 = 35.42 : x
  2. Step 2: Convert to fraction form
    56.41/77.84 = 35.42/x
  3. Step 3: Cross multiply
    56.41x = 77.84 × 35.42
  4. Step 4: Simplify right side
    56.41x = 2,756.70
  5. Step 5: Solve for x
    x = 2,756.70/56.41
  6. Step 6: Final answer
    x = 48.87

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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.