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Finding the Fourth Proportional to 103.14, 153.96 and 98.46

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Solution

The fourth proportional to 103.14, 153.96 and 98.46 is: 146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.14 : 153.96 = 98.46 : x
  2. Step 2: Convert to fraction form
    103.14/153.96 = 98.46/x
  3. Step 3: Cross multiply
    103.14x = 153.96 × 98.46
  4. Step 4: Simplify right side
    103.14x = 15,158.90
  5. Step 5: Solve for x
    x = 15,158.90/103.14
  6. Step 6: Final answer
    x = 146.97

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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.