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Finding the Fourth Proportional to 29.40, 40.57 and 16.46

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Solution

The fourth proportional to 29.40, 40.57 and 16.46 is: 22.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.40 : 40.57 = 16.46 : x
  2. Step 2: Convert to fraction form
    29.40/40.57 = 16.46/x
  3. Step 3: Cross multiply
    29.40x = 40.57 × 16.46
  4. Step 4: Simplify right side
    29.40x = 667.78
  5. Step 5: Solve for x
    x = 667.78/29.40
  6. Step 6: Final answer
    x = 22.72

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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.