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Finding the Fourth Proportional to 23.09, 34.56 and 15.46

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Solution

The fourth proportional to 23.09, 34.56 and 15.46 is: 23.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.09 : 34.56 = 15.46 : x
  2. Step 2: Convert to fraction form
    23.09/34.56 = 15.46/x
  3. Step 3: Cross multiply
    23.09x = 34.56 × 15.46
  4. Step 4: Simplify right side
    23.09x = 534.30
  5. Step 5: Solve for x
    x = 534.30/23.09
  6. Step 6: Final answer
    x = 23.14

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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.