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Finding the Fourth Proportional to 103.52, 154.24 and 98

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Solution

The fourth proportional to 103.52, 154.24 and 98 is: 146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.52 : 154.24 = 98 : x
  2. Step 2: Convert to fraction form
    103.52/154.24 = 98/x
  3. Step 3: Cross multiply
    103.52x = 154.24 × 98
  4. Step 4: Simplify right side
    103.52x = 15,115.52
  5. Step 5: Solve for x
    x = 15,115.52/103.52
  6. Step 6: Final answer
    x = 146.02

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