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Finding the Fourth Proportional to 100.71, 150.98 and 49.30

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Solution

The fourth proportional to 100.71, 150.98 and 49.30 is: 73.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.71 : 150.98 = 49.30 : x
  2. Step 2: Convert to fraction form
    100.71/150.98 = 49.30/x
  3. Step 3: Cross multiply
    100.71x = 150.98 × 49.30
  4. Step 4: Simplify right side
    100.71x = 7,443.31
  5. Step 5: Solve for x
    x = 7,443.31/100.71
  6. Step 6: Final answer
    x = 73.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.