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Finding the Fourth Proportional to 92.69, 128.03 and 75.23

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Solution

The fourth proportional to 92.69, 128.03 and 75.23 is: 103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.69 : 128.03 = 75.23 : x
  2. Step 2: Convert to fraction form
    92.69/128.03 = 75.23/x
  3. Step 3: Cross multiply
    92.69x = 128.03 × 75.23
  4. Step 4: Simplify right side
    92.69x = 9,631.58
  5. Step 5: Solve for x
    x = 9,631.58/92.69
  6. Step 6: Final answer
    x = 103.91

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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.