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Finding the Fourth Proportional to 100.98, 150.80 and 91.80

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Solution

The fourth proportional to 100.98, 150.80 and 91.80 is: 137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.98 : 150.80 = 91.80 : x
  2. Step 2: Convert to fraction form
    100.98/150.80 = 91.80/x
  3. Step 3: Cross multiply
    100.98x = 150.80 × 91.80
  4. Step 4: Simplify right side
    100.98x = 13,842.98
  5. Step 5: Solve for x
    x = 13,842.98/100.98
  6. Step 6: Final answer
    x = 137.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.