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Finding the Fourth Proportional to 108.94, 150.30 and 65.20

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Solution

The fourth proportional to 108.94, 150.30 and 65.20 is: 89.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.94 : 150.30 = 65.20 : x
  2. Step 2: Convert to fraction form
    108.94/150.30 = 65.20/x
  3. Step 3: Cross multiply
    108.94x = 150.30 × 65.20
  4. Step 4: Simplify right side
    108.94x = 9,799.56
  5. Step 5: Solve for x
    x = 9,799.56/108.94
  6. Step 6: Final answer
    x = 89.95

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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.