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Finding the Fourth Proportional to 145.15, 217.62 and 84.25

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Solution

The fourth proportional to 145.15, 217.62 and 84.25 is: 126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.15 : 217.62 = 84.25 : x
  2. Step 2: Convert to fraction form
    145.15/217.62 = 84.25/x
  3. Step 3: Cross multiply
    145.15x = 217.62 × 84.25
  4. Step 4: Simplify right side
    145.15x = 18,334.49
  5. Step 5: Solve for x
    x = 18,334.49/145.15
  6. Step 6: Final answer
    x = 126.31

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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.