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Finding the Fourth Proportional to 76.10, 104.73 and 54.23

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Solution

The fourth proportional to 76.10, 104.73 and 54.23 is: 74.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.10 : 104.73 = 54.23 : x
  2. Step 2: Convert to fraction form
    76.10/104.73 = 54.23/x
  3. Step 3: Cross multiply
    76.10x = 104.73 × 54.23
  4. Step 4: Simplify right side
    76.10x = 5,678.78
  5. Step 5: Solve for x
    x = 5,678.78/76.10
  6. Step 6: Final answer
    x = 74.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.