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Finding the Fourth Proportional to 165.85, 248.96 and 84.67

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Solution

The fourth proportional to 165.85, 248.96 and 84.67 is: 127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.85 : 248.96 = 84.67 : x
  2. Step 2: Convert to fraction form
    165.85/248.96 = 84.67/x
  3. Step 3: Cross multiply
    165.85x = 248.96 × 84.67
  4. Step 4: Simplify right side
    165.85x = 21,079.44
  5. Step 5: Solve for x
    x = 21,079.44/165.85
  6. Step 6: Final answer
    x = 127.10

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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.