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Finding the Fourth Proportional to 146.42, 219.67 and 48.93

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Solution

The fourth proportional to 146.42, 219.67 and 48.93 is: 73.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.42 : 219.67 = 48.93 : x
  2. Step 2: Convert to fraction form
    146.42/219.67 = 48.93/x
  3. Step 3: Cross multiply
    146.42x = 219.67 × 48.93
  4. Step 4: Simplify right side
    146.42x = 10,748.45
  5. Step 5: Solve for x
    x = 10,748.45/146.42
  6. Step 6: Final answer
    x = 73.41

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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.