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Finding the Fourth Proportional to 76.12, 113.97 and 53.04

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Solution

The fourth proportional to 76.12, 113.97 and 53.04 is: 79.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.12 : 113.97 = 53.04 : x
  2. Step 2: Convert to fraction form
    76.12/113.97 = 53.04/x
  3. Step 3: Cross multiply
    76.12x = 113.97 × 53.04
  4. Step 4: Simplify right side
    76.12x = 6,044.97
  5. Step 5: Solve for x
    x = 6,044.97/76.12
  6. Step 6: Final answer
    x = 79.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.