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Finding the Fourth Proportional to 76.62, 105.76 and 55.84

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Solution

The fourth proportional to 76.62, 105.76 and 55.84 is: 77.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.62 : 105.76 = 55.84 : x
  2. Step 2: Convert to fraction form
    76.62/105.76 = 55.84/x
  3. Step 3: Cross multiply
    76.62x = 105.76 × 55.84
  4. Step 4: Simplify right side
    76.62x = 5,905.33
  5. Step 5: Solve for x
    x = 5,905.33/76.62
  6. Step 6: Final answer
    x = 77.07

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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.