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Finding the Fourth Proportional to 22.86, 34.29 and 15.78

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Solution

The fourth proportional to 22.86, 34.29 and 15.78 is: 23.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.86 : 34.29 = 15.78 : x
  2. Step 2: Convert to fraction form
    22.86/34.29 = 15.78/x
  3. Step 3: Cross multiply
    22.86x = 34.29 × 15.78
  4. Step 4: Simplify right side
    22.86x = 541.10
  5. Step 5: Solve for x
    x = 541.10/22.86
  6. Step 6: Final answer
    x = 23.67

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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.