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Finding the Fourth Proportional to 75.88, 113.09 and 75.76

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Solution

The fourth proportional to 75.88, 113.09 and 75.76 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.88 : 113.09 = 75.76 : x
  2. Step 2: Convert to fraction form
    75.88/113.09 = 75.76/x
  3. Step 3: Cross multiply
    75.88x = 113.09 × 75.76
  4. Step 4: Simplify right side
    75.88x = 8,567.70
  5. Step 5: Solve for x
    x = 8,567.70/75.88
  6. Step 6: Final answer
    x = 112.91

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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.