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Finding the Fourth Proportional to 163.02, 225.02 and 116.42

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Solution

The fourth proportional to 163.02, 225.02 and 116.42 is: 160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.02 : 225.02 = 116.42 : x
  2. Step 2: Convert to fraction form
    163.02/225.02 = 116.42/x
  3. Step 3: Cross multiply
    163.02x = 225.02 × 116.42
  4. Step 4: Simplify right side
    163.02x = 26,196.83
  5. Step 5: Solve for x
    x = 26,196.83/163.02
  6. Step 6: Final answer
    x = 160.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.