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Finding the Fourth Proportional to 46.78, 64.54 and 34.51

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Solution

The fourth proportional to 46.78, 64.54 and 34.51 is: 47.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.78 : 64.54 = 34.51 : x
  2. Step 2: Convert to fraction form
    46.78/64.54 = 34.51/x
  3. Step 3: Cross multiply
    46.78x = 64.54 × 34.51
  4. Step 4: Simplify right side
    46.78x = 2,227.28
  5. Step 5: Solve for x
    x = 2,227.28/46.78
  6. Step 6: Final answer
    x = 47.61

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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.