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Finding the Fourth Proportional to 75.26, 103.31 and 72.50

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Solution

The fourth proportional to 75.26, 103.31 and 72.50 is: 99.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.26 : 103.31 = 72.50 : x
  2. Step 2: Convert to fraction form
    75.26/103.31 = 72.50/x
  3. Step 3: Cross multiply
    75.26x = 103.31 × 72.50
  4. Step 4: Simplify right side
    75.26x = 7,489.37
  5. Step 5: Solve for x
    x = 7,489.37/75.26
  6. Step 6: Final answer
    x = 99.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.