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Finding the Fourth Proportional to 75.12, 104.10 and 72.72

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Solution

The fourth proportional to 75.12, 104.10 and 72.72 is: 100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.12 : 104.10 = 72.72 : x
  2. Step 2: Convert to fraction form
    75.12/104.10 = 72.72/x
  3. Step 3: Cross multiply
    75.12x = 104.10 × 72.72
  4. Step 4: Simplify right side
    75.12x = 7,570.15
  5. Step 5: Solve for x
    x = 7,570.15/75.12
  6. Step 6: Final answer
    x = 100.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.