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Finding the Fourth Proportional to 105.21, 157.64 and 64.67

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Solution

The fourth proportional to 105.21, 157.64 and 64.67 is: 96.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.21 : 157.64 = 64.67 : x
  2. Step 2: Convert to fraction form
    105.21/157.64 = 64.67/x
  3. Step 3: Cross multiply
    105.21x = 157.64 × 64.67
  4. Step 4: Simplify right side
    105.21x = 10,193.47
  5. Step 5: Solve for x
    x = 10,193.47/105.21
  6. Step 6: Final answer
    x = 96.89

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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.