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Finding the Fourth Proportional to 41.64, 57.47 and 23.22

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Solution

The fourth proportional to 41.64, 57.47 and 23.22 is: 32.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.64 : 57.47 = 23.22 : x
  2. Step 2: Convert to fraction form
    41.64/57.47 = 23.22/x
  3. Step 3: Cross multiply
    41.64x = 57.47 × 23.22
  4. Step 4: Simplify right side
    41.64x = 1,334.45
  5. Step 5: Solve for x
    x = 1,334.45/41.64
  6. Step 6: Final answer
    x = 32.05

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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.