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Finding the Fourth Proportional to 46.82, 64.62 and 30.48

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Solution

The fourth proportional to 46.82, 64.62 and 30.48 is: 42.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.82 : 64.62 = 30.48 : x
  2. Step 2: Convert to fraction form
    46.82/64.62 = 30.48/x
  3. Step 3: Cross multiply
    46.82x = 64.62 × 30.48
  4. Step 4: Simplify right side
    46.82x = 1,969.62
  5. Step 5: Solve for x
    x = 1,969.62/46.82
  6. Step 6: Final answer
    x = 42.07

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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.