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Finding the Fourth Proportional to 94.78, 130.83 and 68.98

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Solution

The fourth proportional to 94.78, 130.83 and 68.98 is: 95.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.78 : 130.83 = 68.98 : x
  2. Step 2: Convert to fraction form
    94.78/130.83 = 68.98/x
  3. Step 3: Cross multiply
    94.78x = 130.83 × 68.98
  4. Step 4: Simplify right side
    94.78x = 9,024.65
  5. Step 5: Solve for x
    x = 9,024.65/94.78
  6. Step 6: Final answer
    x = 95.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.