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Finding the Fourth Proportional to 157.22, 217.08 and 105.50

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Solution

The fourth proportional to 157.22, 217.08 and 105.50 is: 145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.22 : 217.08 = 105.50 : x
  2. Step 2: Convert to fraction form
    157.22/217.08 = 105.50/x
  3. Step 3: Cross multiply
    157.22x = 217.08 × 105.50
  4. Step 4: Simplify right side
    157.22x = 22,901.94
  5. Step 5: Solve for x
    x = 22,901.94/157.22
  6. Step 6: Final answer
    x = 145.67

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Why These Related Problems?

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