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Finding the Fourth Proportional to 75.57, 103.61 and 73.53

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Solution

The fourth proportional to 75.57, 103.61 and 73.53 is: 100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.57 : 103.61 = 73.53 : x
  2. Step 2: Convert to fraction form
    75.57/103.61 = 73.53/x
  3. Step 3: Cross multiply
    75.57x = 103.61 × 73.53
  4. Step 4: Simplify right side
    75.57x = 7,618.08
  5. Step 5: Solve for x
    x = 7,618.08/75.57
  6. Step 6: Final answer
    x = 100.81

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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.