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Finding the Fourth Proportional to 44.16, 66.14 and 22.46

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Solution

The fourth proportional to 44.16, 66.14 and 22.46 is: 33.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.16 : 66.14 = 22.46 : x
  2. Step 2: Convert to fraction form
    44.16/66.14 = 22.46/x
  3. Step 3: Cross multiply
    44.16x = 66.14 × 22.46
  4. Step 4: Simplify right side
    44.16x = 1,485.06
  5. Step 5: Solve for x
    x = 1,485.06/44.16
  6. Step 6: Final answer
    x = 33.63

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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.