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Finding the Fourth Proportional to 163.75, 245.14 and 95.06

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Solution

The fourth proportional to 163.75, 245.14 and 95.06 is: 142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.75 : 245.14 = 95.06 : x
  2. Step 2: Convert to fraction form
    163.75/245.14 = 95.06/x
  3. Step 3: Cross multiply
    163.75x = 245.14 × 95.06
  4. Step 4: Simplify right side
    163.75x = 23,303.01
  5. Step 5: Solve for x
    x = 23,303.01/163.75
  6. Step 6: Final answer
    x = 142.31

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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.