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Finding the Fourth Proportional to 76.84, 106.02 and 75.64

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Solution

The fourth proportional to 76.84, 106.02 and 75.64 is: 104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.84 : 106.02 = 75.64 : x
  2. Step 2: Convert to fraction form
    76.84/106.02 = 75.64/x
  3. Step 3: Cross multiply
    76.84x = 106.02 × 75.64
  4. Step 4: Simplify right side
    76.84x = 8,019.35
  5. Step 5: Solve for x
    x = 8,019.35/76.84
  6. Step 6: Final answer
    x = 104.36

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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.