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Finding the Fourth Proportional to 105.09, 157.63 and 53.67

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Solution

The fourth proportional to 105.09, 157.63 and 53.67 is: 80.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 157.63 = 53.67 : x
  2. Step 2: Convert to fraction form
    105.09/157.63 = 53.67/x
  3. Step 3: Cross multiply
    105.09x = 157.63 × 53.67
  4. Step 4: Simplify right side
    105.09x = 8,459.93
  5. Step 5: Solve for x
    x = 8,459.93/105.09
  6. Step 6: Final answer
    x = 80.50

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Why These Related Problems?

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