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Finding the Fourth Proportional to 109.32, 162.92 and 109.15

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Solution

The fourth proportional to 109.32, 162.92 and 109.15 is: 162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.32 : 162.92 = 109.15 : x
  2. Step 2: Convert to fraction form
    109.32/162.92 = 109.15/x
  3. Step 3: Cross multiply
    109.32x = 162.92 × 109.15
  4. Step 4: Simplify right side
    109.32x = 17,781.90
  5. Step 5: Solve for x
    x = 17,781.90/109.32
  6. Step 6: Final answer
    x = 162.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.