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Finding the Fourth Proportional to 76.96, 106.16 and 55.16

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Solution

The fourth proportional to 76.96, 106.16 and 55.16 is: 76.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.96 : 106.16 = 55.16 : x
  2. Step 2: Convert to fraction form
    76.96/106.16 = 55.16/x
  3. Step 3: Cross multiply
    76.96x = 106.16 × 55.16
  4. Step 4: Simplify right side
    76.96x = 5,855.79
  5. Step 5: Solve for x
    x = 5,855.79/76.96
  6. Step 6: Final answer
    x = 76.09

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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.