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Finding the Fourth Proportional to 15.74, 23.64 and 11.76

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Solution

The fourth proportional to 15.74, 23.64 and 11.76 is: 17.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.74 : 23.64 = 11.76 : x
  2. Step 2: Convert to fraction form
    15.74/23.64 = 11.76/x
  3. Step 3: Cross multiply
    15.74x = 23.64 × 11.76
  4. Step 4: Simplify right side
    15.74x = 278.01
  5. Step 5: Solve for x
    x = 278.01/15.74
  6. Step 6: Final answer
    x = 17.66

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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.