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Finding the Fourth Proportional to 76.15, 105.09 and 48.54

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Solution

The fourth proportional to 76.15, 105.09 and 48.54 is: 66.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.15 : 105.09 = 48.54 : x
  2. Step 2: Convert to fraction form
    76.15/105.09 = 48.54/x
  3. Step 3: Cross multiply
    76.15x = 105.09 × 48.54
  4. Step 4: Simplify right side
    76.15x = 5,101.07
  5. Step 5: Solve for x
    x = 5,101.07/76.15
  6. Step 6: Final answer
    x = 66.99

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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.