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Finding the Fourth Proportional to 100.71, 150.20 and 98.98

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Solution

The fourth proportional to 100.71, 150.20 and 98.98 is: 147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.71 : 150.20 = 98.98 : x
  2. Step 2: Convert to fraction form
    100.71/150.20 = 98.98/x
  3. Step 3: Cross multiply
    100.71x = 150.20 × 98.98
  4. Step 4: Simplify right side
    100.71x = 14,866.05
  5. Step 5: Solve for x
    x = 14,866.05/100.71
  6. Step 6: Final answer
    x = 147.62

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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.