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Finding the Fourth Proportional to 100.66, 150.99 and 28.52

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Solution

The fourth proportional to 100.66, 150.99 and 28.52 is: 42.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.66 : 150.99 = 28.52 : x
  2. Step 2: Convert to fraction form
    100.66/150.99 = 28.52/x
  3. Step 3: Cross multiply
    100.66x = 150.99 × 28.52
  4. Step 4: Simplify right side
    100.66x = 4,306.23
  5. Step 5: Solve for x
    x = 4,306.23/100.66
  6. Step 6: Final answer
    x = 42.78

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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.