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Finding the Fourth Proportional to 109.74, 150.76 and 98.23

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Solution

The fourth proportional to 109.74, 150.76 and 98.23 is: 134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.74 : 150.76 = 98.23 : x
  2. Step 2: Convert to fraction form
    109.74/150.76 = 98.23/x
  3. Step 3: Cross multiply
    109.74x = 150.76 × 98.23
  4. Step 4: Simplify right side
    109.74x = 14,809.15
  5. Step 5: Solve for x
    x = 14,809.15/109.74
  6. Step 6: Final answer
    x = 134.95

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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.