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Finding the Fourth Proportional to 146.02, 219.03 and 37.81

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Solution

The fourth proportional to 146.02, 219.03 and 37.81 is: 56.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.02 : 219.03 = 37.81 : x
  2. Step 2: Convert to fraction form
    146.02/219.03 = 37.81/x
  3. Step 3: Cross multiply
    146.02x = 219.03 × 37.81
  4. Step 4: Simplify right side
    146.02x = 8,281.73
  5. Step 5: Solve for x
    x = 8,281.73/146.02
  6. Step 6: Final answer
    x = 56.72

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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.