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Finding the Fourth Proportional to 17.54, 23.88 and 17.47

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Solution

The fourth proportional to 17.54, 23.88 and 17.47 is: 23.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.54 : 23.88 = 17.47 : x
  2. Step 2: Convert to fraction form
    17.54/23.88 = 17.47/x
  3. Step 3: Cross multiply
    17.54x = 23.88 × 17.47
  4. Step 4: Simplify right side
    17.54x = 417.18
  5. Step 5: Solve for x
    x = 417.18/17.54
  6. Step 6: Final answer
    x = 23.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.