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Finding the Fourth Proportional to 100.36, 149.69 and 98.54

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Solution

The fourth proportional to 100.36, 149.69 and 98.54 is: 146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.36 : 149.69 = 98.54 : x
  2. Step 2: Convert to fraction form
    100.36/149.69 = 98.54/x
  3. Step 3: Cross multiply
    100.36x = 149.69 × 98.54
  4. Step 4: Simplify right side
    100.36x = 14,750.45
  5. Step 5: Solve for x
    x = 14,750.45/100.36
  6. Step 6: Final answer
    x = 146.98

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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.