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Finding the Fourth Proportional to 108.24, 149.16 and 105.04

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Solution

The fourth proportional to 108.24, 149.16 and 105.04 is: 144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.24 : 149.16 = 105.04 : x
  2. Step 2: Convert to fraction form
    108.24/149.16 = 105.04/x
  3. Step 3: Cross multiply
    108.24x = 149.16 × 105.04
  4. Step 4: Simplify right side
    108.24x = 15,667.77
  5. Step 5: Solve for x
    x = 15,667.77/108.24
  6. Step 6: Final answer
    x = 144.75

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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.