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Finding the Fourth Proportional to 15.57, 23.32 and 11.05

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Solution

The fourth proportional to 15.57, 23.32 and 11.05 is: 16.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.57 : 23.32 = 11.05 : x
  2. Step 2: Convert to fraction form
    15.57/23.32 = 11.05/x
  3. Step 3: Cross multiply
    15.57x = 23.32 × 11.05
  4. Step 4: Simplify right side
    15.57x = 257.69
  5. Step 5: Solve for x
    x = 257.69/15.57
  6. Step 6: Final answer
    x = 16.55

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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.