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Finding the Fourth Proportional to 15.78, 23.70 and 7.68

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Solution

The fourth proportional to 15.78, 23.70 and 7.68 is: 11.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.78 : 23.70 = 7.68 : x
  2. Step 2: Convert to fraction form
    15.78/23.70 = 7.68/x
  3. Step 3: Cross multiply
    15.78x = 23.70 × 7.68
  4. Step 4: Simplify right side
    15.78x = 182.02
  5. Step 5: Solve for x
    x = 182.02/15.78
  6. Step 6: Final answer
    x = 11.53

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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.