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Finding the Fourth Proportional to 108.74, 150 and 101.54

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Solution

The fourth proportional to 108.74, 150 and 101.54 is: 140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.74 : 150 = 101.54 : x
  2. Step 2: Convert to fraction form
    108.74/150 = 101.54/x
  3. Step 3: Cross multiply
    108.74x = 150 × 101.54
  4. Step 4: Simplify right side
    108.74x = 15,231.00
  5. Step 5: Solve for x
    x = 15,231.00/108.74
  6. Step 6: Final answer
    x = 140.07

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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.