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Finding the Fourth Proportional to 56.02, 77.31 and 31.46

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Solution

The fourth proportional to 56.02, 77.31 and 31.46 is: 43.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.02 : 77.31 = 31.46 : x
  2. Step 2: Convert to fraction form
    56.02/77.31 = 31.46/x
  3. Step 3: Cross multiply
    56.02x = 77.31 × 31.46
  4. Step 4: Simplify right side
    56.02x = 2,432.05
  5. Step 5: Solve for x
    x = 2,432.05/56.02
  6. Step 6: Final answer
    x = 43.42

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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.