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Finding the Fourth Proportional to 162.14, 223.64 and 99.92

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Solution

The fourth proportional to 162.14, 223.64 and 99.92 is: 137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.14 : 223.64 = 99.92 : x
  2. Step 2: Convert to fraction form
    162.14/223.64 = 99.92/x
  3. Step 3: Cross multiply
    162.14x = 223.64 × 99.92
  4. Step 4: Simplify right side
    162.14x = 22,345.61
  5. Step 5: Solve for x
    x = 22,345.61/162.14
  6. Step 6: Final answer
    x = 137.82

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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.