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Finding the Fourth Proportional to 18.64, 27.72 and 18.56

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Solution

The fourth proportional to 18.64, 27.72 and 18.56 is: 27.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.64 : 27.72 = 18.56 : x
  2. Step 2: Convert to fraction form
    18.64/27.72 = 18.56/x
  3. Step 3: Cross multiply
    18.64x = 27.72 × 18.56
  4. Step 4: Simplify right side
    18.64x = 514.48
  5. Step 5: Solve for x
    x = 514.48/18.64
  6. Step 6: Final answer
    x = 27.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.