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Finding the Fourth Proportional to 92.96, 128.40 and 76.76

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Solution

The fourth proportional to 92.96, 128.40 and 76.76 is: 106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.96 : 128.40 = 76.76 : x
  2. Step 2: Convert to fraction form
    92.96/128.40 = 76.76/x
  3. Step 3: Cross multiply
    92.96x = 128.40 × 76.76
  4. Step 4: Simplify right side
    92.96x = 9,855.98
  5. Step 5: Solve for x
    x = 9,855.98/92.96
  6. Step 6: Final answer
    x = 106.02

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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.