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Finding the Fourth Proportional to 75.45, 103.55 and 65.73

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Solution

The fourth proportional to 75.45, 103.55 and 65.73 is: 90.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.45 : 103.55 = 65.73 : x
  2. Step 2: Convert to fraction form
    75.45/103.55 = 65.73/x
  3. Step 3: Cross multiply
    75.45x = 103.55 × 65.73
  4. Step 4: Simplify right side
    75.45x = 6,806.34
  5. Step 5: Solve for x
    x = 6,806.34/75.45
  6. Step 6: Final answer
    x = 90.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.