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Finding the Fourth Proportional to 56.28, 77.67 and 31.72

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Solution

The fourth proportional to 56.28, 77.67 and 31.72 is: 43.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.28 : 77.67 = 31.72 : x
  2. Step 2: Convert to fraction form
    56.28/77.67 = 31.72/x
  3. Step 3: Cross multiply
    56.28x = 77.67 × 31.72
  4. Step 4: Simplify right side
    56.28x = 2,463.53
  5. Step 5: Solve for x
    x = 2,463.53/56.28
  6. Step 6: Final answer
    x = 43.77

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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.