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Finding the Fourth Proportional to 32.93, 49.47 and 20.12

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Solution

The fourth proportional to 32.93, 49.47 and 20.12 is: 30.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.93 : 49.47 = 20.12 : x
  2. Step 2: Convert to fraction form
    32.93/49.47 = 20.12/x
  3. Step 3: Cross multiply
    32.93x = 49.47 × 20.12
  4. Step 4: Simplify right side
    32.93x = 995.34
  5. Step 5: Solve for x
    x = 995.34/32.93
  6. Step 6: Final answer
    x = 30.23

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Why These Related Problems?

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