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Finding the Fourth Proportional to 23.27, 34.93 and 9.76

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Solution

The fourth proportional to 23.27, 34.93 and 9.76 is: 14.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.27 : 34.93 = 9.76 : x
  2. Step 2: Convert to fraction form
    23.27/34.93 = 9.76/x
  3. Step 3: Cross multiply
    23.27x = 34.93 × 9.76
  4. Step 4: Simplify right side
    23.27x = 340.77
  5. Step 5: Solve for x
    x = 340.77/23.27
  6. Step 6: Final answer
    x = 14.64

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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.