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Finding the Fourth Proportional to 68.19, 94.10 and 37.10

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Solution

The fourth proportional to 68.19, 94.10 and 37.10 is: 51.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.19 : 94.10 = 37.10 : x
  2. Step 2: Convert to fraction form
    68.19/94.10 = 37.10/x
  3. Step 3: Cross multiply
    68.19x = 94.10 × 37.10
  4. Step 4: Simplify right side
    68.19x = 3,491.13
  5. Step 5: Solve for x
    x = 3,491.13/68.19
  6. Step 6: Final answer
    x = 51.20

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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.