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Finding the Fourth Proportional to 103.45, 143.42 and 97.98

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Solution

The fourth proportional to 103.45, 143.42 and 97.98 is: 135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.45 : 143.42 = 97.98 : x
  2. Step 2: Convert to fraction form
    103.45/143.42 = 97.98/x
  3. Step 3: Cross multiply
    103.45x = 143.42 × 97.98
  4. Step 4: Simplify right side
    103.45x = 14,052.29
  5. Step 5: Solve for x
    x = 14,052.29/103.45
  6. Step 6: Final answer
    x = 135.84

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.