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Finding the Fourth Proportional to 30.72, 46.06 and 16.24

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Solution

The fourth proportional to 30.72, 46.06 and 16.24 is: 24.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.72 : 46.06 = 16.24 : x
  2. Step 2: Convert to fraction form
    30.72/46.06 = 16.24/x
  3. Step 3: Cross multiply
    30.72x = 46.06 × 16.24
  4. Step 4: Simplify right side
    30.72x = 748.01
  5. Step 5: Solve for x
    x = 748.01/30.72
  6. Step 6: Final answer
    x = 24.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.