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Finding the Fourth Proportional to 73.97, 102.05 and 46.34

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Solution

The fourth proportional to 73.97, 102.05 and 46.34 is: 63.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.97 : 102.05 = 46.34 : x
  2. Step 2: Convert to fraction form
    73.97/102.05 = 46.34/x
  3. Step 3: Cross multiply
    73.97x = 102.05 × 46.34
  4. Step 4: Simplify right side
    73.97x = 4,728.49
  5. Step 5: Solve for x
    x = 4,728.49/73.97
  6. Step 6: Final answer
    x = 63.93

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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.