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Finding the Fourth Proportional to 150.74, 226.12 and 42.53

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Solution

The fourth proportional to 150.74, 226.12 and 42.53 is: 63.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.74 : 226.12 = 42.53 : x
  2. Step 2: Convert to fraction form
    150.74/226.12 = 42.53/x
  3. Step 3: Cross multiply
    150.74x = 226.12 × 42.53
  4. Step 4: Simplify right side
    150.74x = 9,617.51
  5. Step 5: Solve for x
    x = 9,617.51/150.74
  6. Step 6: Final answer
    x = 63.80

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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.