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Finding the Fourth Proportional to 76.09, 114 and 63.18

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Solution

The fourth proportional to 76.09, 114 and 63.18 is: 94.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.09 : 114 = 63.18 : x
  2. Step 2: Convert to fraction form
    76.09/114 = 63.18/x
  3. Step 3: Cross multiply
    76.09x = 114 × 63.18
  4. Step 4: Simplify right side
    76.09x = 7,202.52
  5. Step 5: Solve for x
    x = 7,202.52/76.09
  6. Step 6: Final answer
    x = 94.66

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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.