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Finding the Fourth Proportional to 101.66, 151.50 and 98.21

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Solution

The fourth proportional to 101.66, 151.50 and 98.21 is: 146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.66 : 151.50 = 98.21 : x
  2. Step 2: Convert to fraction form
    101.66/151.50 = 98.21/x
  3. Step 3: Cross multiply
    101.66x = 151.50 × 98.21
  4. Step 4: Simplify right side
    101.66x = 14,879.56
  5. Step 5: Solve for x
    x = 14,879.56/101.66
  6. Step 6: Final answer
    x = 146.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.