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Finding the Fourth Proportional to 45.56, 68.34 and 18.50

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Solution

The fourth proportional to 45.56, 68.34 and 18.50 is: 27.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.56 : 68.34 = 18.50 : x
  2. Step 2: Convert to fraction form
    45.56/68.34 = 18.50/x
  3. Step 3: Cross multiply
    45.56x = 68.34 × 18.50
  4. Step 4: Simplify right side
    45.56x = 1,263.95
  5. Step 5: Solve for x
    x = 1,263.95/45.56
  6. Step 6: Final answer
    x = 27.75

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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.