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Finding the Fourth Proportional to 129.10, 193.46 and 56.94

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Solution

The fourth proportional to 129.10, 193.46 and 56.94 is: 85.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.10 : 193.46 = 56.94 : x
  2. Step 2: Convert to fraction form
    129.10/193.46 = 56.94/x
  3. Step 3: Cross multiply
    129.10x = 193.46 × 56.94
  4. Step 4: Simplify right side
    129.10x = 11,015.61
  5. Step 5: Solve for x
    x = 11,015.61/129.10
  6. Step 6: Final answer
    x = 85.33

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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.