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Finding the Fourth Proportional to 101.34, 151.89 and 75.51

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Solution

The fourth proportional to 101.34, 151.89 and 75.51 is: 113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.34 : 151.89 = 75.51 : x
  2. Step 2: Convert to fraction form
    101.34/151.89 = 75.51/x
  3. Step 3: Cross multiply
    101.34x = 151.89 × 75.51
  4. Step 4: Simplify right side
    101.34x = 11,469.21
  5. Step 5: Solve for x
    x = 11,469.21/101.34
  6. Step 6: Final answer
    x = 113.18

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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.