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Finding the Fourth Proportional to 150.10, 224.24 and 104.06

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Solution

The fourth proportional to 150.10, 224.24 and 104.06 is: 155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.10 : 224.24 = 104.06 : x
  2. Step 2: Convert to fraction form
    150.10/224.24 = 104.06/x
  3. Step 3: Cross multiply
    150.10x = 224.24 × 104.06
  4. Step 4: Simplify right side
    150.10x = 23,334.41
  5. Step 5: Solve for x
    x = 23,334.41/150.10
  6. Step 6: Final answer
    x = 155.46

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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.