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Finding the Fourth Proportional to 46.54, 64.18 and 29.92

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Solution

The fourth proportional to 46.54, 64.18 and 29.92 is: 41.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.54 : 64.18 = 29.92 : x
  2. Step 2: Convert to fraction form
    46.54/64.18 = 29.92/x
  3. Step 3: Cross multiply
    46.54x = 64.18 × 29.92
  4. Step 4: Simplify right side
    46.54x = 1,920.27
  5. Step 5: Solve for x
    x = 1,920.27/46.54
  6. Step 6: Final answer
    x = 41.26

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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.