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Finding the Fourth Proportional to 145.45, 217.77 and 84.43

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Solution

The fourth proportional to 145.45, 217.77 and 84.43 is: 126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.45 : 217.77 = 84.43 : x
  2. Step 2: Convert to fraction form
    145.45/217.77 = 84.43/x
  3. Step 3: Cross multiply
    145.45x = 217.77 × 84.43
  4. Step 4: Simplify right side
    145.45x = 18,386.32
  5. Step 5: Solve for x
    x = 18,386.32/145.45
  6. Step 6: Final answer
    x = 126.41

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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.