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Finding the Fourth Proportional to 76.10, 113.54 and 68.41

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Solution

The fourth proportional to 76.10, 113.54 and 68.41 is: 102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.10 : 113.54 = 68.41 : x
  2. Step 2: Convert to fraction form
    76.10/113.54 = 68.41/x
  3. Step 3: Cross multiply
    76.10x = 113.54 × 68.41
  4. Step 4: Simplify right side
    76.10x = 7,767.16
  5. Step 5: Solve for x
    x = 7,767.16/76.10
  6. Step 6: Final answer
    x = 102.07

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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.