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Finding the Fourth Proportional to 46.79, 64.57 and 27.11

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Solution

The fourth proportional to 46.79, 64.57 and 27.11 is: 37.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.79 : 64.57 = 27.11 : x
  2. Step 2: Convert to fraction form
    46.79/64.57 = 27.11/x
  3. Step 3: Cross multiply
    46.79x = 64.57 × 27.11
  4. Step 4: Simplify right side
    46.79x = 1,750.59
  5. Step 5: Solve for x
    x = 1,750.59/46.79
  6. Step 6: Final answer
    x = 37.42

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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.