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Finding the Fourth Proportional to 23.77, 32.80 and 14.07

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Solution

The fourth proportional to 23.77, 32.80 and 14.07 is: 19.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.77 : 32.80 = 14.07 : x
  2. Step 2: Convert to fraction form
    23.77/32.80 = 14.07/x
  3. Step 3: Cross multiply
    23.77x = 32.80 × 14.07
  4. Step 4: Simplify right side
    23.77x = 461.26
  5. Step 5: Solve for x
    x = 461.26/23.77
  6. Step 6: Final answer
    x = 19.41

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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.