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Finding the Fourth Proportional to 154.94, 213.72 and 118.02

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Solution

The fourth proportional to 154.94, 213.72 and 118.02 is: 162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.94 : 213.72 = 118.02 : x
  2. Step 2: Convert to fraction form
    154.94/213.72 = 118.02/x
  3. Step 3: Cross multiply
    154.94x = 213.72 × 118.02
  4. Step 4: Simplify right side
    154.94x = 25,223.23
  5. Step 5: Solve for x
    x = 25,223.23/154.94
  6. Step 6: Final answer
    x = 162.80

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Why These Related Problems?

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