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Finding the Fourth Proportional to 115.98, 159.74 and 107.34

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Solution

The fourth proportional to 115.98, 159.74 and 107.34 is: 147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.98 : 159.74 = 107.34 : x
  2. Step 2: Convert to fraction form
    115.98/159.74 = 107.34/x
  3. Step 3: Cross multiply
    115.98x = 159.74 × 107.34
  4. Step 4: Simplify right side
    115.98x = 17,146.49
  5. Step 5: Solve for x
    x = 17,146.49/115.98
  6. Step 6: Final answer
    x = 147.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.