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Finding the Fourth Proportional to 76.04, 104.95 and 53.97

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Solution

The fourth proportional to 76.04, 104.95 and 53.97 is: 74.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.04 : 104.95 = 53.97 : x
  2. Step 2: Convert to fraction form
    76.04/104.95 = 53.97/x
  3. Step 3: Cross multiply
    76.04x = 104.95 × 53.97
  4. Step 4: Simplify right side
    76.04x = 5,663.52
  5. Step 5: Solve for x
    x = 5,663.52/76.04
  6. Step 6: Final answer
    x = 74.48

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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.