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Finding the Fourth Proportional to 15.88, 23.82 and 7.76

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Solution

The fourth proportional to 15.88, 23.82 and 7.76 is: 11.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.88 : 23.82 = 7.76 : x
  2. Step 2: Convert to fraction form
    15.88/23.82 = 7.76/x
  3. Step 3: Cross multiply
    15.88x = 23.82 × 7.76
  4. Step 4: Simplify right side
    15.88x = 184.75
  5. Step 5: Solve for x
    x = 184.75/15.88
  6. Step 6: Final answer
    x = 11.64

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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.