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Finding the Fourth Proportional to 76.97, 114.89 and 73.64

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Solution

The fourth proportional to 76.97, 114.89 and 73.64 is: 109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.97 : 114.89 = 73.64 : x
  2. Step 2: Convert to fraction form
    76.97/114.89 = 73.64/x
  3. Step 3: Cross multiply
    76.97x = 114.89 × 73.64
  4. Step 4: Simplify right side
    76.97x = 8,459.56
  5. Step 5: Solve for x
    x = 8,459.56/76.97
  6. Step 6: Final answer
    x = 109.91

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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.