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Finding the Fourth Proportional to 24.46, 33.76 and 16.70

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Solution

The fourth proportional to 24.46, 33.76 and 16.70 is: 23.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.46 : 33.76 = 16.70 : x
  2. Step 2: Convert to fraction form
    24.46/33.76 = 16.70/x
  3. Step 3: Cross multiply
    24.46x = 33.76 × 16.70
  4. Step 4: Simplify right side
    24.46x = 563.79
  5. Step 5: Solve for x
    x = 563.79/24.46
  6. Step 6: Final answer
    x = 23.05

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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.