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Finding the Fourth Proportional to 56.12, 77.27 and 46.31

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Solution

The fourth proportional to 56.12, 77.27 and 46.31 is: 63.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.12 : 77.27 = 46.31 : x
  2. Step 2: Convert to fraction form
    56.12/77.27 = 46.31/x
  3. Step 3: Cross multiply
    56.12x = 77.27 × 46.31
  4. Step 4: Simplify right side
    56.12x = 3,577.76
  5. Step 5: Solve for x
    x = 3,577.76/56.12
  6. Step 6: Final answer
    x = 63.76

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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.