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Finding the Fourth Proportional to 101.24, 151.40 and 75.49

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Solution

The fourth proportional to 101.24, 151.40 and 75.49 is: 112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.24 : 151.40 = 75.49 : x
  2. Step 2: Convert to fraction form
    101.24/151.40 = 75.49/x
  3. Step 3: Cross multiply
    101.24x = 151.40 × 75.49
  4. Step 4: Simplify right side
    101.24x = 11,429.19
  5. Step 5: Solve for x
    x = 11,429.19/101.24
  6. Step 6: Final answer
    x = 112.89

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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.