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Finding the Fourth Proportional to 145.46, 217.86 and 84.44

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Solution

The fourth proportional to 145.46, 217.86 and 84.44 is: 126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.46 : 217.86 = 84.44 : x
  2. Step 2: Convert to fraction form
    145.46/217.86 = 84.44/x
  3. Step 3: Cross multiply
    145.46x = 217.86 × 84.44
  4. Step 4: Simplify right side
    145.46x = 18,395.01
  5. Step 5: Solve for x
    x = 18,395.01/145.46
  6. Step 6: Final answer
    x = 126.47

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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.