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Finding the Fourth Proportional to 23.05, 34.57 and 9.51

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Solution

The fourth proportional to 23.05, 34.57 and 9.51 is: 14.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.05 : 34.57 = 9.51 : x
  2. Step 2: Convert to fraction form
    23.05/34.57 = 9.51/x
  3. Step 3: Cross multiply
    23.05x = 34.57 × 9.51
  4. Step 4: Simplify right side
    23.05x = 328.64
  5. Step 5: Solve for x
    x = 328.64/23.05
  6. Step 6: Final answer
    x = 14.26

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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.