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Finding the Fourth Proportional to 145.97, 218.99 and 80.96

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Solution

The fourth proportional to 145.97, 218.99 and 80.96 is: 121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.97 : 218.99 = 80.96 : x
  2. Step 2: Convert to fraction form
    145.97/218.99 = 80.96/x
  3. Step 3: Cross multiply
    145.97x = 218.99 × 80.96
  4. Step 4: Simplify right side
    145.97x = 17,728.54
  5. Step 5: Solve for x
    x = 17,728.54/145.97
  6. Step 6: Final answer
    x = 121.45

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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.