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Finding the Fourth Proportional to 94.10, 129.84 and 56.77

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Solution

The fourth proportional to 94.10, 129.84 and 56.77 is: 78.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.10 : 129.84 = 56.77 : x
  2. Step 2: Convert to fraction form
    94.10/129.84 = 56.77/x
  3. Step 3: Cross multiply
    94.10x = 129.84 × 56.77
  4. Step 4: Simplify right side
    94.10x = 7,370.37
  5. Step 5: Solve for x
    x = 7,370.37/94.10
  6. Step 6: Final answer
    x = 78.32

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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.