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Finding the Fourth Proportional to 46.84, 69.86 and 45.92

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Solution

The fourth proportional to 46.84, 69.86 and 45.92 is: 68.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.84 : 69.86 = 45.92 : x
  2. Step 2: Convert to fraction form
    46.84/69.86 = 45.92/x
  3. Step 3: Cross multiply
    46.84x = 69.86 × 45.92
  4. Step 4: Simplify right side
    46.84x = 3,207.97
  5. Step 5: Solve for x
    x = 3,207.97/46.84
  6. Step 6: Final answer
    x = 68.49

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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.