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Finding the Fourth Proportional to 113.55, 170.05 and 64.67

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Solution

The fourth proportional to 113.55, 170.05 and 64.67 is: 96.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.55 : 170.05 = 64.67 : x
  2. Step 2: Convert to fraction form
    113.55/170.05 = 64.67/x
  3. Step 3: Cross multiply
    113.55x = 170.05 × 64.67
  4. Step 4: Simplify right side
    113.55x = 10,997.68
  5. Step 5: Solve for x
    x = 10,997.68/113.55
  6. Step 6: Final answer
    x = 96.85

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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.