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Finding the Fourth Proportional to 46.10, 69 and 34.66

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Solution

The fourth proportional to 46.10, 69 and 34.66 is: 51.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.10 : 69 = 34.66 : x
  2. Step 2: Convert to fraction form
    46.10/69 = 34.66/x
  3. Step 3: Cross multiply
    46.10x = 69 × 34.66
  4. Step 4: Simplify right side
    46.10x = 2,391.54
  5. Step 5: Solve for x
    x = 2,391.54/46.10
  6. Step 6: Final answer
    x = 51.88

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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.