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Finding the Fourth Proportional to 75.89, 103.95 and 75.69

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Solution

The fourth proportional to 75.89, 103.95 and 75.69 is: 103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.89 : 103.95 = 75.69 : x
  2. Step 2: Convert to fraction form
    75.89/103.95 = 75.69/x
  3. Step 3: Cross multiply
    75.89x = 103.95 × 75.69
  4. Step 4: Simplify right side
    75.89x = 7,867.98
  5. Step 5: Solve for x
    x = 7,867.98/75.89
  6. Step 6: Final answer
    x = 103.67

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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.