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Finding the Fourth Proportional to 73.69, 109.93 and 69.55

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Solution

The fourth proportional to 73.69, 109.93 and 69.55 is: 103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.69 : 109.93 = 69.55 : x
  2. Step 2: Convert to fraction form
    73.69/109.93 = 69.55/x
  3. Step 3: Cross multiply
    73.69x = 109.93 × 69.55
  4. Step 4: Simplify right side
    73.69x = 7,645.63
  5. Step 5: Solve for x
    x = 7,645.63/73.69
  6. Step 6: Final answer
    x = 103.75

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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.