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Finding the Fourth Proportional to 23.69, 32.70 and 14.49

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Solution

The fourth proportional to 23.69, 32.70 and 14.49 is: 20.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.69 : 32.70 = 14.49 : x
  2. Step 2: Convert to fraction form
    23.69/32.70 = 14.49/x
  3. Step 3: Cross multiply
    23.69x = 32.70 × 14.49
  4. Step 4: Simplify right side
    23.69x = 473.82
  5. Step 5: Solve for x
    x = 473.82/23.69
  6. Step 6: Final answer
    x = 20.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.