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Finding the Fourth Proportional to 46.31, 63.92 and 30.77

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Solution

The fourth proportional to 46.31, 63.92 and 30.77 is: 42.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.31 : 63.92 = 30.77 : x
  2. Step 2: Convert to fraction form
    46.31/63.92 = 30.77/x
  3. Step 3: Cross multiply
    46.31x = 63.92 × 30.77
  4. Step 4: Simplify right side
    46.31x = 1,966.82
  5. Step 5: Solve for x
    x = 1,966.82/46.31
  6. Step 6: Final answer
    x = 42.47

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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.