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Finding the Fourth Proportional to 162.01, 223.61 and 99.83

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Solution

The fourth proportional to 162.01, 223.61 and 99.83 is: 137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.01 : 223.61 = 99.83 : x
  2. Step 2: Convert to fraction form
    162.01/223.61 = 99.83/x
  3. Step 3: Cross multiply
    162.01x = 223.61 × 99.83
  4. Step 4: Simplify right side
    162.01x = 22,323.05
  5. Step 5: Solve for x
    x = 22,323.05/162.01
  6. Step 6: Final answer
    x = 137.79

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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.