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Finding the Fourth Proportional to 75.30, 112.34 and 69.64

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Solution

The fourth proportional to 75.30, 112.34 and 69.64 is: 103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.30 : 112.34 = 69.64 : x
  2. Step 2: Convert to fraction form
    75.30/112.34 = 69.64/x
  3. Step 3: Cross multiply
    75.30x = 112.34 × 69.64
  4. Step 4: Simplify right side
    75.30x = 7,823.36
  5. Step 5: Solve for x
    x = 7,823.36/75.30
  6. Step 6: Final answer
    x = 103.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.