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Finding the Fourth Proportional to 162.82, 224.44 and 116.04

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Solution

The fourth proportional to 162.82, 224.44 and 116.04 is: 159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.82 : 224.44 = 116.04 : x
  2. Step 2: Convert to fraction form
    162.82/224.44 = 116.04/x
  3. Step 3: Cross multiply
    162.82x = 224.44 × 116.04
  4. Step 4: Simplify right side
    162.82x = 26,044.02
  5. Step 5: Solve for x
    x = 26,044.02/162.82
  6. Step 6: Final answer
    x = 159.96

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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.