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Finding the Fourth Proportional to 145.85, 218.78 and 49.73

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Solution

The fourth proportional to 145.85, 218.78 and 49.73 is: 74.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.85 : 218.78 = 49.73 : x
  2. Step 2: Convert to fraction form
    145.85/218.78 = 49.73/x
  3. Step 3: Cross multiply
    145.85x = 218.78 × 49.73
  4. Step 4: Simplify right side
    145.85x = 10,879.93
  5. Step 5: Solve for x
    x = 10,879.93/145.85
  6. Step 6: Final answer
    x = 74.60

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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.