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Finding the Fourth Proportional to 46.69, 64.42 and 30.31

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Solution

The fourth proportional to 46.69, 64.42 and 30.31 is: 41.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 64.42 = 30.31 : x
  2. Step 2: Convert to fraction form
    46.69/64.42 = 30.31/x
  3. Step 3: Cross multiply
    46.69x = 64.42 × 30.31
  4. Step 4: Simplify right side
    46.69x = 1,952.57
  5. Step 5: Solve for x
    x = 1,952.57/46.69
  6. Step 6: Final answer
    x = 41.82

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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.