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Finding the Fourth Proportional to 105.70, 157.45 and 103.98

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Solution

The fourth proportional to 105.70, 157.45 and 103.98 is: 154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.70 : 157.45 = 103.98 : x
  2. Step 2: Convert to fraction form
    105.70/157.45 = 103.98/x
  3. Step 3: Cross multiply
    105.70x = 157.45 × 103.98
  4. Step 4: Simplify right side
    105.70x = 16,371.65
  5. Step 5: Solve for x
    x = 16,371.65/105.70
  6. Step 6: Final answer
    x = 154.89

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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.