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Finding the Fourth Proportional to 162.17, 223.73 and 106.93

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Solution

The fourth proportional to 162.17, 223.73 and 106.93 is: 147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.17 : 223.73 = 106.93 : x
  2. Step 2: Convert to fraction form
    162.17/223.73 = 106.93/x
  3. Step 3: Cross multiply
    162.17x = 223.73 × 106.93
  4. Step 4: Simplify right side
    162.17x = 23,922.91
  5. Step 5: Solve for x
    x = 23,922.91/162.17
  6. Step 6: Final answer
    x = 147.52

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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.