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Finding the Fourth Proportional to 78.78, 108.16 and 76.77

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Solution

The fourth proportional to 78.78, 108.16 and 76.77 is: 105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.78 : 108.16 = 76.77 : x
  2. Step 2: Convert to fraction form
    78.78/108.16 = 76.77/x
  3. Step 3: Cross multiply
    78.78x = 108.16 × 76.77
  4. Step 4: Simplify right side
    78.78x = 8,303.44
  5. Step 5: Solve for x
    x = 8,303.44/78.78
  6. Step 6: Final answer
    x = 105.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.