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Finding the Fourth Proportional to 162.74, 224.61 and 104.69

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Solution

The fourth proportional to 162.74, 224.61 and 104.69 is: 144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.74 : 224.61 = 104.69 : x
  2. Step 2: Convert to fraction form
    162.74/224.61 = 104.69/x
  3. Step 3: Cross multiply
    162.74x = 224.61 × 104.69
  4. Step 4: Simplify right side
    162.74x = 23,514.59
  5. Step 5: Solve for x
    x = 23,514.59/162.74
  6. Step 6: Final answer
    x = 144.49

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