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Finding the Fourth Proportional to 101.03, 151.23 and 75.20

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Solution

The fourth proportional to 101.03, 151.23 and 75.20 is: 112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.03 : 151.23 = 75.20 : x
  2. Step 2: Convert to fraction form
    101.03/151.23 = 75.20/x
  3. Step 3: Cross multiply
    101.03x = 151.23 × 75.20
  4. Step 4: Simplify right side
    101.03x = 11,372.50
  5. Step 5: Solve for x
    x = 11,372.50/101.03
  6. Step 6: Final answer
    x = 112.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.