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Finding the Fourth Proportional to 73.48, 109.74 and 67

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Solution

The fourth proportional to 73.48, 109.74 and 67 is: 100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.48 : 109.74 = 67 : x
  2. Step 2: Convert to fraction form
    73.48/109.74 = 67/x
  3. Step 3: Cross multiply
    73.48x = 109.74 × 67
  4. Step 4: Simplify right side
    73.48x = 7,352.58
  5. Step 5: Solve for x
    x = 7,352.58/73.48
  6. Step 6: Final answer
    x = 100.06

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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.