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Finding the Fourth Proportional to 75.42, 103.86 and 66.33

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Solution

The fourth proportional to 75.42, 103.86 and 66.33 is: 91.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 103.86 = 66.33 : x
  2. Step 2: Convert to fraction form
    75.42/103.86 = 66.33/x
  3. Step 3: Cross multiply
    75.42x = 103.86 × 66.33
  4. Step 4: Simplify right side
    75.42x = 6,889.03
  5. Step 5: Solve for x
    x = 6,889.03/75.42
  6. Step 6: Final answer
    x = 91.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.