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Finding the Fourth Proportional to 118.45, 162.40 and 116.41

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Solution

The fourth proportional to 118.45, 162.40 and 116.41 is: 159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.45 : 162.40 = 116.41 : x
  2. Step 2: Convert to fraction form
    118.45/162.40 = 116.41/x
  3. Step 3: Cross multiply
    118.45x = 162.40 × 116.41
  4. Step 4: Simplify right side
    118.45x = 18,904.98
  5. Step 5: Solve for x
    x = 18,904.98/118.45
  6. Step 6: Final answer
    x = 159.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.