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Finding the Fourth Proportional to 75.69, 103.80 and 75.42

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Solution

The fourth proportional to 75.69, 103.80 and 75.42 is: 103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.69 : 103.80 = 75.42 : x
  2. Step 2: Convert to fraction form
    75.69/103.80 = 75.42/x
  3. Step 3: Cross multiply
    75.69x = 103.80 × 75.42
  4. Step 4: Simplify right side
    75.69x = 7,828.60
  5. Step 5: Solve for x
    x = 7,828.60/75.69
  6. Step 6: Final answer
    x = 103.43

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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.