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Finding the Fourth Proportional to 56.29, 77.69 and 40.80

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Solution

The fourth proportional to 56.29, 77.69 and 40.80 is: 56.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.29 : 77.69 = 40.80 : x
  2. Step 2: Convert to fraction form
    56.29/77.69 = 40.80/x
  3. Step 3: Cross multiply
    56.29x = 77.69 × 40.80
  4. Step 4: Simplify right side
    56.29x = 3,169.75
  5. Step 5: Solve for x
    x = 3,169.75/56.29
  6. Step 6: Final answer
    x = 56.31

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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.