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Finding the Fourth Proportional to 14.87, 20.52 and 8.40

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Solution

The fourth proportional to 14.87, 20.52 and 8.40 is: 11.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.87 : 20.52 = 8.40 : x
  2. Step 2: Convert to fraction form
    14.87/20.52 = 8.40/x
  3. Step 3: Cross multiply
    14.87x = 20.52 × 8.40
  4. Step 4: Simplify right side
    14.87x = 172.31
  5. Step 5: Solve for x
    x = 172.31/14.87
  6. Step 6: Final answer
    x = 11.59

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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.