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Finding the Fourth Proportional to 18.64, 27.98 and 18.20

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Solution

The fourth proportional to 18.64, 27.98 and 18.20 is: 27.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.64 : 27.98 = 18.20 : x
  2. Step 2: Convert to fraction form
    18.64/27.98 = 18.20/x
  3. Step 3: Cross multiply
    18.64x = 27.98 × 18.20
  4. Step 4: Simplify right side
    18.64x = 509.24
  5. Step 5: Solve for x
    x = 509.24/18.64
  6. Step 6: Final answer
    x = 27.32

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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.