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Finding the Fourth Proportional to 41.40, 57.13 and 22.98

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Solution

The fourth proportional to 41.40, 57.13 and 22.98 is: 31.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.40 : 57.13 = 22.98 : x
  2. Step 2: Convert to fraction form
    41.40/57.13 = 22.98/x
  3. Step 3: Cross multiply
    41.40x = 57.13 × 22.98
  4. Step 4: Simplify right side
    41.40x = 1,312.81
  5. Step 5: Solve for x
    x = 1,312.81/41.40
  6. Step 6: Final answer
    x = 31.71

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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.