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Finding the Fourth Proportional to 75.42, 103.50 and 69.24

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Solution

The fourth proportional to 75.42, 103.50 and 69.24 is: 95.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 103.50 = 69.24 : x
  2. Step 2: Convert to fraction form
    75.42/103.50 = 69.24/x
  3. Step 3: Cross multiply
    75.42x = 103.50 × 69.24
  4. Step 4: Simplify right side
    75.42x = 7,166.34
  5. Step 5: Solve for x
    x = 7,166.34/75.42
  6. Step 6: Final answer
    x = 95.02

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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.