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Finding the Fourth Proportional to 76.69, 114.52 and 75.88

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Solution

The fourth proportional to 76.69, 114.52 and 75.88 is: 113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.69 : 114.52 = 75.88 : x
  2. Step 2: Convert to fraction form
    76.69/114.52 = 75.88/x
  3. Step 3: Cross multiply
    76.69x = 114.52 × 75.88
  4. Step 4: Simplify right side
    76.69x = 8,689.30
  5. Step 5: Solve for x
    x = 8,689.30/76.69
  6. Step 6: Final answer
    x = 113.31

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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.