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Finding the Fourth Proportional to 76.53, 105.46 and 73.83

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Solution

The fourth proportional to 76.53, 105.46 and 73.83 is: 101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.53 : 105.46 = 73.83 : x
  2. Step 2: Convert to fraction form
    76.53/105.46 = 73.83/x
  3. Step 3: Cross multiply
    76.53x = 105.46 × 73.83
  4. Step 4: Simplify right side
    76.53x = 7,786.11
  5. Step 5: Solve for x
    x = 7,786.11/76.53
  6. Step 6: Final answer
    x = 101.74

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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.