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Finding the Fourth Proportional to 16.34, 24.60 and 15.32

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Solution

The fourth proportional to 16.34, 24.60 and 15.32 is: 23.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.34 : 24.60 = 15.32 : x
  2. Step 2: Convert to fraction form
    16.34/24.60 = 15.32/x
  3. Step 3: Cross multiply
    16.34x = 24.60 × 15.32
  4. Step 4: Simplify right side
    16.34x = 376.87
  5. Step 5: Solve for x
    x = 376.87/16.34
  6. Step 6: Final answer
    x = 23.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.