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Finding the Fourth Proportional to 76.96, 106.64 and 75.34

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Solution

The fourth proportional to 76.96, 106.64 and 75.34 is: 104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.96 : 106.64 = 75.34 : x
  2. Step 2: Convert to fraction form
    76.96/106.64 = 75.34/x
  3. Step 3: Cross multiply
    76.96x = 106.64 × 75.34
  4. Step 4: Simplify right side
    76.96x = 8,034.26
  5. Step 5: Solve for x
    x = 8,034.26/76.96
  6. Step 6: Final answer
    x = 104.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.