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Finding the Fourth Proportional to 108.94, 150.24 and 90.49

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Solution

The fourth proportional to 108.94, 150.24 and 90.49 is: 124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.94 : 150.24 = 90.49 : x
  2. Step 2: Convert to fraction form
    108.94/150.24 = 90.49/x
  3. Step 3: Cross multiply
    108.94x = 150.24 × 90.49
  4. Step 4: Simplify right side
    108.94x = 13,595.22
  5. Step 5: Solve for x
    x = 13,595.22/108.94
  6. Step 6: Final answer
    x = 124.80

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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.