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Finding the Fourth Proportional to 46.68, 64.39 and 30.08

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Solution

The fourth proportional to 46.68, 64.39 and 30.08 is: 41.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.68 : 64.39 = 30.08 : x
  2. Step 2: Convert to fraction form
    46.68/64.39 = 30.08/x
  3. Step 3: Cross multiply
    46.68x = 64.39 × 30.08
  4. Step 4: Simplify right side
    46.68x = 1,936.85
  5. Step 5: Solve for x
    x = 1,936.85/46.68
  6. Step 6: Final answer
    x = 41.49

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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.