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Finding the Fourth Proportional to 32.92, 49.36 and 20.10

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Solution

The fourth proportional to 32.92, 49.36 and 20.10 is: 30.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.92 : 49.36 = 20.10 : x
  2. Step 2: Convert to fraction form
    32.92/49.36 = 20.10/x
  3. Step 3: Cross multiply
    32.92x = 49.36 × 20.10
  4. Step 4: Simplify right side
    32.92x = 992.14
  5. Step 5: Solve for x
    x = 992.14/32.92
  6. Step 6: Final answer
    x = 30.14

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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.