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Finding the Fourth Proportional to 76.14, 105.01 and 52.79

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Solution

The fourth proportional to 76.14, 105.01 and 52.79 is: 72.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.14 : 105.01 = 52.79 : x
  2. Step 2: Convert to fraction form
    76.14/105.01 = 52.79/x
  3. Step 3: Cross multiply
    76.14x = 105.01 × 52.79
  4. Step 4: Simplify right side
    76.14x = 5,542.82
  5. Step 5: Solve for x
    x = 5,542.82/76.14
  6. Step 6: Final answer
    x = 72.80

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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.