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Finding the Fourth Proportional to 76.48, 114.68 and 54.84

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Solution

The fourth proportional to 76.48, 114.68 and 54.84 is: 82.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.48 : 114.68 = 54.84 : x
  2. Step 2: Convert to fraction form
    76.48/114.68 = 54.84/x
  3. Step 3: Cross multiply
    76.48x = 114.68 × 54.84
  4. Step 4: Simplify right side
    76.48x = 6,289.05
  5. Step 5: Solve for x
    x = 6,289.05/76.48
  6. Step 6: Final answer
    x = 82.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.