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Finding the Fourth Proportional to 75.72, 103.65 and 73.26

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Solution

The fourth proportional to 75.72, 103.65 and 73.26 is: 100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.72 : 103.65 = 73.26 : x
  2. Step 2: Convert to fraction form
    75.72/103.65 = 73.26/x
  3. Step 3: Cross multiply
    75.72x = 103.65 × 73.26
  4. Step 4: Simplify right side
    75.72x = 7,593.40
  5. Step 5: Solve for x
    x = 7,593.40/75.72
  6. Step 6: Final answer
    x = 100.28

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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.