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Finding the Fourth Proportional to 32.02, 44.22 and 27.64

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Solution

The fourth proportional to 32.02, 44.22 and 27.64 is: 38.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.02 : 44.22 = 27.64 : x
  2. Step 2: Convert to fraction form
    32.02/44.22 = 27.64/x
  3. Step 3: Cross multiply
    32.02x = 44.22 × 27.64
  4. Step 4: Simplify right side
    32.02x = 1,222.24
  5. Step 5: Solve for x
    x = 1,222.24/32.02
  6. Step 6: Final answer
    x = 38.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.