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Finding the Fourth Proportional to 46.26, 69.14 and 34.74

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Solution

The fourth proportional to 46.26, 69.14 and 34.74 is: 51.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.26 : 69.14 = 34.74 : x
  2. Step 2: Convert to fraction form
    46.26/69.14 = 34.74/x
  3. Step 3: Cross multiply
    46.26x = 69.14 × 34.74
  4. Step 4: Simplify right side
    46.26x = 2,402.01
  5. Step 5: Solve for x
    x = 2,402.01/46.26
  6. Step 6: Final answer
    x = 51.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.