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Finding the Fourth Proportional to 23.80, 32.85 and 14.10

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Solution

The fourth proportional to 23.80, 32.85 and 14.10 is: 19.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.80 : 32.85 = 14.10 : x
  2. Step 2: Convert to fraction form
    23.80/32.85 = 14.10/x
  3. Step 3: Cross multiply
    23.80x = 32.85 × 14.10
  4. Step 4: Simplify right side
    23.80x = 462.95
  5. Step 5: Solve for x
    x = 462.95/23.80
  6. Step 6: Final answer
    x = 19.45

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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.