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Finding the Fourth Proportional to 100.44, 150.53 and 74.66

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Solution

The fourth proportional to 100.44, 150.53 and 74.66 is: 111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.44 : 150.53 = 74.66 : x
  2. Step 2: Convert to fraction form
    100.44/150.53 = 74.66/x
  3. Step 3: Cross multiply
    100.44x = 150.53 × 74.66
  4. Step 4: Simplify right side
    100.44x = 11,237.44
  5. Step 5: Solve for x
    x = 11,237.44/100.44
  6. Step 6: Final answer
    x = 111.88

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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.