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Finding the Fourth Proportional to 15.78, 23.64 and 7.75

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Solution

The fourth proportional to 15.78, 23.64 and 7.75 is: 11.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.78 : 23.64 = 7.75 : x
  2. Step 2: Convert to fraction form
    15.78/23.64 = 7.75/x
  3. Step 3: Cross multiply
    15.78x = 23.64 × 7.75
  4. Step 4: Simplify right side
    15.78x = 183.21
  5. Step 5: Solve for x
    x = 183.21/15.78
  6. Step 6: Final answer
    x = 11.61

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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.