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Finding the Fourth Proportional to 32.22, 48.36 and 30.96

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Solution

The fourth proportional to 32.22, 48.36 and 30.96 is: 46.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.22 : 48.36 = 30.96 : x
  2. Step 2: Convert to fraction form
    32.22/48.36 = 30.96/x
  3. Step 3: Cross multiply
    32.22x = 48.36 × 30.96
  4. Step 4: Simplify right side
    32.22x = 1,497.23
  5. Step 5: Solve for x
    x = 1,497.23/32.22
  6. Step 6: Final answer
    x = 46.47

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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.