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Finding the Fourth Proportional to 162.15, 243.26 and 85.16

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Solution

The fourth proportional to 162.15, 243.26 and 85.16 is: 127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.15 : 243.26 = 85.16 : x
  2. Step 2: Convert to fraction form
    162.15/243.26 = 85.16/x
  3. Step 3: Cross multiply
    162.15x = 243.26 × 85.16
  4. Step 4: Simplify right side
    162.15x = 20,714.38
  5. Step 5: Solve for x
    x = 20,714.38/162.15
  6. Step 6: Final answer
    x = 127.75

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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.