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Finding the Fourth Proportional to 100.87, 150.84 and 74.89

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Solution

The fourth proportional to 100.87, 150.84 and 74.89 is: 111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.87 : 150.84 = 74.89 : x
  2. Step 2: Convert to fraction form
    100.87/150.84 = 74.89/x
  3. Step 3: Cross multiply
    100.87x = 150.84 × 74.89
  4. Step 4: Simplify right side
    100.87x = 11,296.41
  5. Step 5: Solve for x
    x = 11,296.41/100.87
  6. Step 6: Final answer
    x = 111.99

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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.