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Finding the Fourth Proportional to 100.94, 150.46 and 94.10

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Solution

The fourth proportional to 100.94, 150.46 and 94.10 is: 140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.94 : 150.46 = 94.10 : x
  2. Step 2: Convert to fraction form
    100.94/150.46 = 94.10/x
  3. Step 3: Cross multiply
    100.94x = 150.46 × 94.10
  4. Step 4: Simplify right side
    100.94x = 14,158.29
  5. Step 5: Solve for x
    x = 14,158.29/100.94
  6. Step 6: Final answer
    x = 140.26

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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.