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Finding the Fourth Proportional to 129.06, 194.67 and 129.06

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Solution

The fourth proportional to 129.06, 194.67 and 129.06 is: 194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.06 : 194.67 = 129.06 : x
  2. Step 2: Convert to fraction form
    129.06/194.67 = 129.06/x
  3. Step 3: Cross multiply
    129.06x = 194.67 × 129.06
  4. Step 4: Simplify right side
    129.06x = 25,124.11
  5. Step 5: Solve for x
    x = 25,124.11/129.06
  6. Step 6: Final answer
    x = 194.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.