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Finding the Fourth Proportional to 108.35, 148.64 and 105.65

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Solution

The fourth proportional to 108.35, 148.64 and 105.65 is: 144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.35 : 148.64 = 105.65 : x
  2. Step 2: Convert to fraction form
    108.35/148.64 = 105.65/x
  3. Step 3: Cross multiply
    108.35x = 148.64 × 105.65
  4. Step 4: Simplify right side
    108.35x = 15,703.94
  5. Step 5: Solve for x
    x = 15,703.94/108.35
  6. Step 6: Final answer
    x = 144.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.