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Finding the Fourth Proportional to 105.88, 158.72 and 69.84

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Solution

The fourth proportional to 105.88, 158.72 and 69.84 is: 104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.88 : 158.72 = 69.84 : x
  2. Step 2: Convert to fraction form
    105.88/158.72 = 69.84/x
  3. Step 3: Cross multiply
    105.88x = 158.72 × 69.84
  4. Step 4: Simplify right side
    105.88x = 11,085.00
  5. Step 5: Solve for x
    x = 11,085.00/105.88
  6. Step 6: Final answer
    x = 104.69

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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.