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Finding the Fourth Proportional to 108.56, 149.61 and 75.76

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Solution

The fourth proportional to 108.56, 149.61 and 75.76 is: 104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.56 : 149.61 = 75.76 : x
  2. Step 2: Convert to fraction form
    108.56/149.61 = 75.76/x
  3. Step 3: Cross multiply
    108.56x = 149.61 × 75.76
  4. Step 4: Simplify right side
    108.56x = 11,334.45
  5. Step 5: Solve for x
    x = 11,334.45/108.56
  6. Step 6: Final answer
    x = 104.41

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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.