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Finding the Fourth Proportional to 108.91, 149.97 and 101.57

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Solution

The fourth proportional to 108.91, 149.97 and 101.57 is: 139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.91 : 149.97 = 101.57 : x
  2. Step 2: Convert to fraction form
    108.91/149.97 = 101.57/x
  3. Step 3: Cross multiply
    108.91x = 149.97 × 101.57
  4. Step 4: Simplify right side
    108.91x = 15,232.36
  5. Step 5: Solve for x
    x = 15,232.36/108.91
  6. Step 6: Final answer
    x = 139.86

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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.