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Finding the Fourth Proportional to 154.04, 212.67 and 98.80

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Solution

The fourth proportional to 154.04, 212.67 and 98.80 is: 136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.04 : 212.67 = 98.80 : x
  2. Step 2: Convert to fraction form
    154.04/212.67 = 98.80/x
  3. Step 3: Cross multiply
    154.04x = 212.67 × 98.80
  4. Step 4: Simplify right side
    154.04x = 21,011.26
  5. Step 5: Solve for x
    x = 21,011.26/154.04
  6. Step 6: Final answer
    x = 136.41

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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.