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Finding the Fourth Proportional to 76.98, 106.21 and 73.13

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Solution

The fourth proportional to 76.98, 106.21 and 73.13 is: 100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.98 : 106.21 = 73.13 : x
  2. Step 2: Convert to fraction form
    76.98/106.21 = 73.13/x
  3. Step 3: Cross multiply
    76.98x = 106.21 × 73.13
  4. Step 4: Simplify right side
    76.98x = 7,767.14
  5. Step 5: Solve for x
    x = 7,767.14/76.98
  6. Step 6: Final answer
    x = 100.90

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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.