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Finding the Fourth Proportional to 108.84, 163.01 and 78.10

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Solution

The fourth proportional to 108.84, 163.01 and 78.10 is: 116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.84 : 163.01 = 78.10 : x
  2. Step 2: Convert to fraction form
    108.84/163.01 = 78.10/x
  3. Step 3: Cross multiply
    108.84x = 163.01 × 78.10
  4. Step 4: Simplify right side
    108.84x = 12,730.87
  5. Step 5: Solve for x
    x = 12,730.87/108.84
  6. Step 6: Final answer
    x = 116.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.