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Finding the Fourth Proportional to 101.80, 152.41 and 76.01

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Solution

The fourth proportional to 101.80, 152.41 and 76.01 is: 113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.80 : 152.41 = 76.01 : x
  2. Step 2: Convert to fraction form
    101.80/152.41 = 76.01/x
  3. Step 3: Cross multiply
    101.80x = 152.41 × 76.01
  4. Step 4: Simplify right side
    101.80x = 11,584.68
  5. Step 5: Solve for x
    x = 11,584.68/101.80
  6. Step 6: Final answer
    x = 113.80

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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.