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Finding the Fourth Proportional to 117.72, 162.42 and 78.44

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Solution

The fourth proportional to 117.72, 162.42 and 78.44 is: 108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.72 : 162.42 = 78.44 : x
  2. Step 2: Convert to fraction form
    117.72/162.42 = 78.44/x
  3. Step 3: Cross multiply
    117.72x = 162.42 × 78.44
  4. Step 4: Simplify right side
    117.72x = 12,740.22
  5. Step 5: Solve for x
    x = 12,740.22/117.72
  6. Step 6: Final answer
    x = 108.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.