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Finding the Fourth Proportional to 163.54, 245.36 and 47.99

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Solution

The fourth proportional to 163.54, 245.36 and 47.99 is: 72.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.54 : 245.36 = 47.99 : x
  2. Step 2: Convert to fraction form
    163.54/245.36 = 47.99/x
  3. Step 3: Cross multiply
    163.54x = 245.36 × 47.99
  4. Step 4: Simplify right side
    163.54x = 11,774.37
  5. Step 5: Solve for x
    x = 11,774.37/163.54
  6. Step 6: Final answer
    x = 72.00

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