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Finding the Fourth Proportional to 163.93, 245.51 and 90.69

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Solution

The fourth proportional to 163.93, 245.51 and 90.69 is: 135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.93 : 245.51 = 90.69 : x
  2. Step 2: Convert to fraction form
    163.93/245.51 = 90.69/x
  3. Step 3: Cross multiply
    163.93x = 245.51 × 90.69
  4. Step 4: Simplify right side
    163.93x = 22,264.85
  5. Step 5: Solve for x
    x = 22,264.85/163.93
  6. Step 6: Final answer
    x = 135.82

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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.