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Finding the Fourth Proportional to 100.37, 150.21 and 98.78

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Solution

The fourth proportional to 100.37, 150.21 and 98.78 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.37 : 150.21 = 98.78 : x
  2. Step 2: Convert to fraction form
    100.37/150.21 = 98.78/x
  3. Step 3: Cross multiply
    100.37x = 150.21 × 98.78
  4. Step 4: Simplify right side
    100.37x = 14,836.99
  5. Step 5: Solve for x
    x = 14,836.99/100.37
  6. Step 6: Final answer
    x = 147.82

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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.