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Finding the Fourth Proportional to 73.81, 101.83 and 47.61

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Solution

The fourth proportional to 73.81, 101.83 and 47.61 is: 65.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.81 : 101.83 = 47.61 : x
  2. Step 2: Convert to fraction form
    73.81/101.83 = 47.61/x
  3. Step 3: Cross multiply
    73.81x = 101.83 × 47.61
  4. Step 4: Simplify right side
    73.81x = 4,848.13
  5. Step 5: Solve for x
    x = 4,848.13/73.81
  6. Step 6: Final answer
    x = 65.68

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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.