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Finding the Fourth Proportional to 23.30, 32.14 and 14.08

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Solution

The fourth proportional to 23.30, 32.14 and 14.08 is: 19.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.30 : 32.14 = 14.08 : x
  2. Step 2: Convert to fraction form
    23.30/32.14 = 14.08/x
  3. Step 3: Cross multiply
    23.30x = 32.14 × 14.08
  4. Step 4: Simplify right side
    23.30x = 452.53
  5. Step 5: Solve for x
    x = 452.53/23.30
  6. Step 6: Final answer
    x = 19.42

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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.