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Finding the Fourth Proportional to 16.40, 24.49 and 15.72

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Solution

The fourth proportional to 16.40, 24.49 and 15.72 is: 23.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.40 : 24.49 = 15.72 : x
  2. Step 2: Convert to fraction form
    16.40/24.49 = 15.72/x
  3. Step 3: Cross multiply
    16.40x = 24.49 × 15.72
  4. Step 4: Simplify right side
    16.40x = 384.98
  5. Step 5: Solve for x
    x = 384.98/16.40
  6. Step 6: Final answer
    x = 23.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.