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Finding the Fourth Proportional to 76.10, 113.63 and 67.05

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Solution

The fourth proportional to 76.10, 113.63 and 67.05 is: 100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.10 : 113.63 = 67.05 : x
  2. Step 2: Convert to fraction form
    76.10/113.63 = 67.05/x
  3. Step 3: Cross multiply
    76.10x = 113.63 × 67.05
  4. Step 4: Simplify right side
    76.10x = 7,618.56
  5. Step 5: Solve for x
    x = 7,618.56/76.10
  6. Step 6: Final answer
    x = 100.12

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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.