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Finding the Fourth Proportional to 150.60, 225.94 and 47.90

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Solution

The fourth proportional to 150.60, 225.94 and 47.90 is: 71.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.60 : 225.94 = 47.90 : x
  2. Step 2: Convert to fraction form
    150.60/225.94 = 47.90/x
  3. Step 3: Cross multiply
    150.60x = 225.94 × 47.90
  4. Step 4: Simplify right side
    150.60x = 10,822.53
  5. Step 5: Solve for x
    x = 10,822.53/150.60
  6. Step 6: Final answer
    x = 71.86

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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.