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Finding the Fourth Proportional to 76.41, 113.97 and 74.13

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Solution

The fourth proportional to 76.41, 113.97 and 74.13 is: 110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.41 : 113.97 = 74.13 : x
  2. Step 2: Convert to fraction form
    76.41/113.97 = 74.13/x
  3. Step 3: Cross multiply
    76.41x = 113.97 × 74.13
  4. Step 4: Simplify right side
    76.41x = 8,448.60
  5. Step 5: Solve for x
    x = 8,448.60/76.41
  6. Step 6: Final answer
    x = 110.57

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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.