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Finding the Fourth Proportional to 105.93, 156.67 and 105.93

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Solution

The fourth proportional to 105.93, 156.67 and 105.93 is: 156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.93 : 156.67 = 105.93 : x
  2. Step 2: Convert to fraction form
    105.93/156.67 = 105.93/x
  3. Step 3: Cross multiply
    105.93x = 156.67 × 105.93
  4. Step 4: Simplify right side
    105.93x = 16,596.05
  5. Step 5: Solve for x
    x = 16,596.05/105.93
  6. Step 6: Final answer
    x = 156.67

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.