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Finding the Fourth Proportional to 162.34, 243.66 and 85.36

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Solution

The fourth proportional to 162.34, 243.66 and 85.36 is: 128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.34 : 243.66 = 85.36 : x
  2. Step 2: Convert to fraction form
    162.34/243.66 = 85.36/x
  3. Step 3: Cross multiply
    162.34x = 243.66 × 85.36
  4. Step 4: Simplify right side
    162.34x = 20,798.21
  5. Step 5: Solve for x
    x = 20,798.21/162.34
  6. Step 6: Final answer
    x = 128.12

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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.