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Finding the Fourth Proportional to 129.46, 193.94 and 106.45

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Solution

The fourth proportional to 129.46, 193.94 and 106.45 is: 159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.46 : 193.94 = 106.45 : x
  2. Step 2: Convert to fraction form
    129.46/193.94 = 106.45/x
  3. Step 3: Cross multiply
    129.46x = 193.94 × 106.45
  4. Step 4: Simplify right side
    129.46x = 20,643.41
  5. Step 5: Solve for x
    x = 20,643.41/129.46
  6. Step 6: Final answer
    x = 159.46

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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.