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Finding the Fourth Proportional to 155.16, 214 and 96.92

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Solution

The fourth proportional to 155.16, 214 and 96.92 is: 133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.16 : 214 = 96.92 : x
  2. Step 2: Convert to fraction form
    155.16/214 = 96.92/x
  3. Step 3: Cross multiply
    155.16x = 214 × 96.92
  4. Step 4: Simplify right side
    155.16x = 20,740.88
  5. Step 5: Solve for x
    x = 20,740.88/155.16
  6. Step 6: Final answer
    x = 133.67

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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.