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Finding the Fourth Proportional to 163.78, 245.54 and 61.06

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Solution

The fourth proportional to 163.78, 245.54 and 61.06 is: 91.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 245.54 = 61.06 : x
  2. Step 2: Convert to fraction form
    163.78/245.54 = 61.06/x
  3. Step 3: Cross multiply
    163.78x = 245.54 × 61.06
  4. Step 4: Simplify right side
    163.78x = 14,992.67
  5. Step 5: Solve for x
    x = 14,992.67/163.78
  6. Step 6: Final answer
    x = 91.54

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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.