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Finding the Fourth Proportional to 16.74, 25.08 and 6.58

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Solution

The fourth proportional to 16.74, 25.08 and 6.58 is: 9.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.74 : 25.08 = 6.58 : x
  2. Step 2: Convert to fraction form
    16.74/25.08 = 6.58/x
  3. Step 3: Cross multiply
    16.74x = 25.08 × 6.58
  4. Step 4: Simplify right side
    16.74x = 165.03
  5. Step 5: Solve for x
    x = 165.03/16.74
  6. Step 6: Final answer
    x = 9.86

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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.