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Finding the Fourth Proportional to 145.96, 218.89 and 49.75

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Solution

The fourth proportional to 145.96, 218.89 and 49.75 is: 74.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.96 : 218.89 = 49.75 : x
  2. Step 2: Convert to fraction form
    145.96/218.89 = 49.75/x
  3. Step 3: Cross multiply
    145.96x = 218.89 × 49.75
  4. Step 4: Simplify right side
    145.96x = 10,889.78
  5. Step 5: Solve for x
    x = 10,889.78/145.96
  6. Step 6: Final answer
    x = 74.61

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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.