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Finding the Fourth Proportional to 76.78, 114.71 and 73.54

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Solution

The fourth proportional to 76.78, 114.71 and 73.54 is: 109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.78 : 114.71 = 73.54 : x
  2. Step 2: Convert to fraction form
    76.78/114.71 = 73.54/x
  3. Step 3: Cross multiply
    76.78x = 114.71 × 73.54
  4. Step 4: Simplify right side
    76.78x = 8,435.77
  5. Step 5: Solve for x
    x = 8,435.77/76.78
  6. Step 6: Final answer
    x = 109.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.