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Finding the Fourth Proportional to 46.54, 69.82 and 16.10

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Solution

The fourth proportional to 46.54, 69.82 and 16.10 is: 24.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.54 : 69.82 = 16.10 : x
  2. Step 2: Convert to fraction form
    46.54/69.82 = 16.10/x
  3. Step 3: Cross multiply
    46.54x = 69.82 × 16.10
  4. Step 4: Simplify right side
    46.54x = 1,124.10
  5. Step 5: Solve for x
    x = 1,124.10/46.54
  6. Step 6: Final answer
    x = 24.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.