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Finding the Fourth Proportional to 162.81, 224.62 and 103.69

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Solution

The fourth proportional to 162.81, 224.62 and 103.69 is: 143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.81 : 224.62 = 103.69 : x
  2. Step 2: Convert to fraction form
    162.81/224.62 = 103.69/x
  3. Step 3: Cross multiply
    162.81x = 224.62 × 103.69
  4. Step 4: Simplify right side
    162.81x = 23,290.82
  5. Step 5: Solve for x
    x = 23,290.82/162.81
  6. Step 6: Final answer
    x = 143.06

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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.