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Finding the Fourth Proportional to 15.49, 23.07 and 14.56

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Solution

The fourth proportional to 15.49, 23.07 and 14.56 is: 21.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.49 : 23.07 = 14.56 : x
  2. Step 2: Convert to fraction form
    15.49/23.07 = 14.56/x
  3. Step 3: Cross multiply
    15.49x = 23.07 × 14.56
  4. Step 4: Simplify right side
    15.49x = 335.78
  5. Step 5: Solve for x
    x = 335.78/15.49
  6. Step 6: Final answer
    x = 21.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.