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Finding the Fourth Proportional to 16.42, 24.60 and 11.06

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Solution

The fourth proportional to 16.42, 24.60 and 11.06 is: 16.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.42 : 24.60 = 11.06 : x
  2. Step 2: Convert to fraction form
    16.42/24.60 = 11.06/x
  3. Step 3: Cross multiply
    16.42x = 24.60 × 11.06
  4. Step 4: Simplify right side
    16.42x = 272.18
  5. Step 5: Solve for x
    x = 272.18/16.42
  6. Step 6: Final answer
    x = 16.58

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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.