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Finding the Fourth Proportional to 105.40, 157.96 and 47.60

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Solution

The fourth proportional to 105.40, 157.96 and 47.60 is: 71.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.40 : 157.96 = 47.60 : x
  2. Step 2: Convert to fraction form
    105.40/157.96 = 47.60/x
  3. Step 3: Cross multiply
    105.40x = 157.96 × 47.60
  4. Step 4: Simplify right side
    105.40x = 7,518.90
  5. Step 5: Solve for x
    x = 7,518.90/105.40
  6. Step 6: Final answer
    x = 71.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.