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Finding the Fourth Proportional to 46.49, 64.17 and 27.08

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Solution

The fourth proportional to 46.49, 64.17 and 27.08 is: 37.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.49 : 64.17 = 27.08 : x
  2. Step 2: Convert to fraction form
    46.49/64.17 = 27.08/x
  3. Step 3: Cross multiply
    46.49x = 64.17 × 27.08
  4. Step 4: Simplify right side
    46.49x = 1,737.59
  5. Step 5: Solve for x
    x = 1,737.59/46.49
  6. Step 6: Final answer
    x = 37.38

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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.