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Finding the Fourth Proportional to 118.98, 164.02 and 118.24

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Solution

The fourth proportional to 118.98, 164.02 and 118.24 is: 163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.98 : 164.02 = 118.24 : x
  2. Step 2: Convert to fraction form
    118.98/164.02 = 118.24/x
  3. Step 3: Cross multiply
    118.98x = 164.02 × 118.24
  4. Step 4: Simplify right side
    118.98x = 19,393.72
  5. Step 5: Solve for x
    x = 19,393.72/118.98
  6. Step 6: Final answer
    x = 163.00

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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.