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Finding the Fourth Proportional to 76.69, 105.52 and 74.41

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Solution

The fourth proportional to 76.69, 105.52 and 74.41 is: 102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.69 : 105.52 = 74.41 : x
  2. Step 2: Convert to fraction form
    76.69/105.52 = 74.41/x
  3. Step 3: Cross multiply
    76.69x = 105.52 × 74.41
  4. Step 4: Simplify right side
    76.69x = 7,851.74
  5. Step 5: Solve for x
    x = 7,851.74/76.69
  6. Step 6: Final answer
    x = 102.38

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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.