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Finding the Fourth Proportional to 73.06, 100.83 and 46.84

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Solution

The fourth proportional to 73.06, 100.83 and 46.84 is: 64.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.06 : 100.83 = 46.84 : x
  2. Step 2: Convert to fraction form
    73.06/100.83 = 46.84/x
  3. Step 3: Cross multiply
    73.06x = 100.83 × 46.84
  4. Step 4: Simplify right side
    73.06x = 4,722.14
  5. Step 5: Solve for x
    x = 4,722.14/73.06
  6. Step 6: Final answer
    x = 64.63

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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.