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Finding the Fourth Proportional to 43.14, 64.63 and 22.55

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Solution

The fourth proportional to 43.14, 64.63 and 22.55 is: 33.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.14 : 64.63 = 22.55 : x
  2. Step 2: Convert to fraction form
    43.14/64.63 = 22.55/x
  3. Step 3: Cross multiply
    43.14x = 64.63 × 22.55
  4. Step 4: Simplify right side
    43.14x = 1,457.30
  5. Step 5: Solve for x
    x = 1,457.30/43.14
  6. Step 6: Final answer
    x = 33.78

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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.