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Finding the Fourth Proportional to 147.22, 220.96 and 78.67

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Solution

The fourth proportional to 147.22, 220.96 and 78.67 is: 118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.22 : 220.96 = 78.67 : x
  2. Step 2: Convert to fraction form
    147.22/220.96 = 78.67/x
  3. Step 3: Cross multiply
    147.22x = 220.96 × 78.67
  4. Step 4: Simplify right side
    147.22x = 17,383.30
  5. Step 5: Solve for x
    x = 17,383.30/147.22
  6. Step 6: Final answer
    x = 118.08

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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.