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Finding the Fourth Proportional to 94.05, 129.78 and 56.75

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Solution

The fourth proportional to 94.05, 129.78 and 56.75 is: 78.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.05 : 129.78 = 56.75 : x
  2. Step 2: Convert to fraction form
    94.05/129.78 = 56.75/x
  3. Step 3: Cross multiply
    94.05x = 129.78 × 56.75
  4. Step 4: Simplify right side
    94.05x = 7,364.37
  5. Step 5: Solve for x
    x = 7,364.37/94.05
  6. Step 6: Final answer
    x = 78.30

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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.