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Finding the Fourth Proportional to 108.84, 150.21 and 85.62

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Solution

The fourth proportional to 108.84, 150.21 and 85.62 is: 118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.84 : 150.21 = 85.62 : x
  2. Step 2: Convert to fraction form
    108.84/150.21 = 85.62/x
  3. Step 3: Cross multiply
    108.84x = 150.21 × 85.62
  4. Step 4: Simplify right side
    108.84x = 12,860.98
  5. Step 5: Solve for x
    x = 12,860.98/108.84
  6. Step 6: Final answer
    x = 118.16

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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.