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Finding the Fourth Proportional to 149.36, 224.31 and 103.93

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Solution

The fourth proportional to 149.36, 224.31 and 103.93 is: 156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.36 : 224.31 = 103.93 : x
  2. Step 2: Convert to fraction form
    149.36/224.31 = 103.93/x
  3. Step 3: Cross multiply
    149.36x = 224.31 × 103.93
  4. Step 4: Simplify right side
    149.36x = 23,312.28
  5. Step 5: Solve for x
    x = 23,312.28/149.36
  6. Step 6: Final answer
    x = 156.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.