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Finding the Fourth Proportional to 32.25, 48.25 and 22.02

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Solution

The fourth proportional to 32.25, 48.25 and 22.02 is: 32.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.25 : 48.25 = 22.02 : x
  2. Step 2: Convert to fraction form
    32.25/48.25 = 22.02/x
  3. Step 3: Cross multiply
    32.25x = 48.25 × 22.02
  4. Step 4: Simplify right side
    32.25x = 1,062.47
  5. Step 5: Solve for x
    x = 1,062.47/32.25
  6. Step 6: Final answer
    x = 32.94

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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.