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Finding the Fourth Proportional to 162.31, 243.62 and 90.22

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Solution

The fourth proportional to 162.31, 243.62 and 90.22 is: 135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.31 : 243.62 = 90.22 : x
  2. Step 2: Convert to fraction form
    162.31/243.62 = 90.22/x
  3. Step 3: Cross multiply
    162.31x = 243.62 × 90.22
  4. Step 4: Simplify right side
    162.31x = 21,979.40
  5. Step 5: Solve for x
    x = 21,979.40/162.31
  6. Step 6: Final answer
    x = 135.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.