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Finding the Fourth Proportional to 162.89, 224.66 and 116.18

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Solution

The fourth proportional to 162.89, 224.66 and 116.18 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.89 : 224.66 = 116.18 : x
  2. Step 2: Convert to fraction form
    162.89/224.66 = 116.18/x
  3. Step 3: Cross multiply
    162.89x = 224.66 × 116.18
  4. Step 4: Simplify right side
    162.89x = 26,100.42
  5. Step 5: Solve for x
    x = 26,100.42/162.89
  6. Step 6: Final answer
    x = 160.23

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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.