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Finding the Fourth Proportional to 75.07, 112.01 and 72.88

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Solution

The fourth proportional to 75.07, 112.01 and 72.88 is: 108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.07 : 112.01 = 72.88 : x
  2. Step 2: Convert to fraction form
    75.07/112.01 = 72.88/x
  3. Step 3: Cross multiply
    75.07x = 112.01 × 72.88
  4. Step 4: Simplify right side
    75.07x = 8,163.29
  5. Step 5: Solve for x
    x = 8,163.29/75.07
  6. Step 6: Final answer
    x = 108.74

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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.