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Finding the Fourth Proportional to 46.50, 64.17 and 34.23

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Solution

The fourth proportional to 46.50, 64.17 and 34.23 is: 47.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 64.17 = 34.23 : x
  2. Step 2: Convert to fraction form
    46.50/64.17 = 34.23/x
  3. Step 3: Cross multiply
    46.50x = 64.17 × 34.23
  4. Step 4: Simplify right side
    46.50x = 2,196.54
  5. Step 5: Solve for x
    x = 2,196.54/46.50
  6. Step 6: Final answer
    x = 47.24

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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.