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Finding the Fourth Proportional to 163.77, 245.67 and 61.06

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Solution

The fourth proportional to 163.77, 245.67 and 61.06 is: 91.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.77 : 245.67 = 61.06 : x
  2. Step 2: Convert to fraction form
    163.77/245.67 = 61.06/x
  3. Step 3: Cross multiply
    163.77x = 245.67 × 61.06
  4. Step 4: Simplify right side
    163.77x = 15,000.61
  5. Step 5: Solve for x
    x = 15,000.61/163.77
  6. Step 6: Final answer
    x = 91.60

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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.