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Finding the Fourth Proportional to 23.70, 32.71 and 14

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Solution

The fourth proportional to 23.70, 32.71 and 14 is: 19.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.70 : 32.71 = 14 : x
  2. Step 2: Convert to fraction form
    23.70/32.71 = 14/x
  3. Step 3: Cross multiply
    23.70x = 32.71 × 14
  4. Step 4: Simplify right side
    23.70x = 457.94
  5. Step 5: Solve for x
    x = 457.94/23.70
  6. Step 6: Final answer
    x = 19.32

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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.