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Finding the Fourth Proportional to 109.30, 164.02 and 65.96

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Solution

The fourth proportional to 109.30, 164.02 and 65.96 is: 98.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.30 : 164.02 = 65.96 : x
  2. Step 2: Convert to fraction form
    109.30/164.02 = 65.96/x
  3. Step 3: Cross multiply
    109.30x = 164.02 × 65.96
  4. Step 4: Simplify right side
    109.30x = 10,818.76
  5. Step 5: Solve for x
    x = 10,818.76/109.30
  6. Step 6: Final answer
    x = 98.98

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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.