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Finding the Fourth Proportional to 94.02, 140.41 and 78.81

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Solution

The fourth proportional to 94.02, 140.41 and 78.81 is: 117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.02 : 140.41 = 78.81 : x
  2. Step 2: Convert to fraction form
    94.02/140.41 = 78.81/x
  3. Step 3: Cross multiply
    94.02x = 140.41 × 78.81
  4. Step 4: Simplify right side
    94.02x = 11,065.32
  5. Step 5: Solve for x
    x = 11,065.32/94.02
  6. Step 6: Final answer
    x = 117.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.