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Finding the Fourth Proportional to 75.65, 103.67 and 73.33

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Solution

The fourth proportional to 75.65, 103.67 and 73.33 is: 100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.65 : 103.67 = 73.33 : x
  2. Step 2: Convert to fraction form
    75.65/103.67 = 73.33/x
  3. Step 3: Cross multiply
    75.65x = 103.67 × 73.33
  4. Step 4: Simplify right side
    75.65x = 7,602.05
  5. Step 5: Solve for x
    x = 7,602.05/75.65
  6. Step 6: Final answer
    x = 100.50

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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.