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Finding the Fourth Proportional to 23, 31.74 and 13.30

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Solution

The fourth proportional to 23, 31.74 and 13.30 is: 18.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 31.74 = 13.30 : x
  2. Step 2: Convert to fraction form
    23/31.74 = 13.30/x
  3. Step 3: Cross multiply
    23x = 31.74 × 13.30
  4. Step 4: Simplify right side
    23x = 422.06
  5. Step 5: Solve for x
    x = 422.06/23
  6. Step 6: Final answer
    x = 18.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.