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Finding the Fourth Proportional to 23.13, 34.67 and 14.57

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Solution

The fourth proportional to 23.13, 34.67 and 14.57 is: 21.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.13 : 34.67 = 14.57 : x
  2. Step 2: Convert to fraction form
    23.13/34.67 = 14.57/x
  3. Step 3: Cross multiply
    23.13x = 34.67 × 14.57
  4. Step 4: Simplify right side
    23.13x = 505.14
  5. Step 5: Solve for x
    x = 505.14/23.13
  6. Step 6: Final answer
    x = 21.84

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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.