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Finding the Fourth Proportional to 105.50, 157.24 and 100.98

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Solution

The fourth proportional to 105.50, 157.24 and 100.98 is: 150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.50 : 157.24 = 100.98 : x
  2. Step 2: Convert to fraction form
    105.50/157.24 = 100.98/x
  3. Step 3: Cross multiply
    105.50x = 157.24 × 100.98
  4. Step 4: Simplify right side
    105.50x = 15,878.22
  5. Step 5: Solve for x
    x = 15,878.22/105.50
  6. Step 6: Final answer
    x = 150.50

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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.