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Finding the Fourth Proportional to 78.49, 117.63 and 44.22

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Solution

The fourth proportional to 78.49, 117.63 and 44.22 is: 66.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.49 : 117.63 = 44.22 : x
  2. Step 2: Convert to fraction form
    78.49/117.63 = 44.22/x
  3. Step 3: Cross multiply
    78.49x = 117.63 × 44.22
  4. Step 4: Simplify right side
    78.49x = 5,202.04
  5. Step 5: Solve for x
    x = 5,202.04/78.49
  6. Step 6: Final answer
    x = 66.28

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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.