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Finding the Fourth Proportional to 75.26, 103.75 and 74.23

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Solution

The fourth proportional to 75.26, 103.75 and 74.23 is: 102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.26 : 103.75 = 74.23 : x
  2. Step 2: Convert to fraction form
    75.26/103.75 = 74.23/x
  3. Step 3: Cross multiply
    75.26x = 103.75 × 74.23
  4. Step 4: Simplify right side
    75.26x = 7,701.58
  5. Step 5: Solve for x
    x = 7,701.58/75.26
  6. Step 6: Final answer
    x = 102.33

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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.