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Finding the Fourth Proportional to 73.05, 108.54 and 71.79

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Solution

The fourth proportional to 73.05, 108.54 and 71.79 is: 106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.05 : 108.54 = 71.79 : x
  2. Step 2: Convert to fraction form
    73.05/108.54 = 71.79/x
  3. Step 3: Cross multiply
    73.05x = 108.54 × 71.79
  4. Step 4: Simplify right side
    73.05x = 7,792.09
  5. Step 5: Solve for x
    x = 7,792.09/73.05
  6. Step 6: Final answer
    x = 106.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.