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Finding the Fourth Proportional to 18.63, 27.95 and 9.13

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Solution

The fourth proportional to 18.63, 27.95 and 9.13 is: 13.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.63 : 27.95 = 9.13 : x
  2. Step 2: Convert to fraction form
    18.63/27.95 = 9.13/x
  3. Step 3: Cross multiply
    18.63x = 27.95 × 9.13
  4. Step 4: Simplify right side
    18.63x = 255.02
  5. Step 5: Solve for x
    x = 255.02/18.63
  6. Step 6: Final answer
    x = 13.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.