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Finding the Fourth Proportional to 76.10, 113.36 and 71.45

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Solution

The fourth proportional to 76.10, 113.36 and 71.45 is: 106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.10 : 113.36 = 71.45 : x
  2. Step 2: Convert to fraction form
    76.10/113.36 = 71.45/x
  3. Step 3: Cross multiply
    76.10x = 113.36 × 71.45
  4. Step 4: Simplify right side
    76.10x = 8,098.65
  5. Step 5: Solve for x
    x = 8,098.65/76.10
  6. Step 6: Final answer
    x = 106.43

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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.