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Finding the Fourth Proportional to 73.80, 101.79 and 46.11

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Solution

The fourth proportional to 73.80, 101.79 and 46.11 is: 63.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.80 : 101.79 = 46.11 : x
  2. Step 2: Convert to fraction form
    73.80/101.79 = 46.11/x
  3. Step 3: Cross multiply
    73.80x = 101.79 × 46.11
  4. Step 4: Simplify right side
    73.80x = 4,694.09
  5. Step 5: Solve for x
    x = 4,694.09/73.80
  6. Step 6: Final answer
    x = 63.61

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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.