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Finding the Fourth Proportional to 109.50, 164.06 and 102.01

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Solution

The fourth proportional to 109.50, 164.06 and 102.01 is: 152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.50 : 164.06 = 102.01 : x
  2. Step 2: Convert to fraction form
    109.50/164.06 = 102.01/x
  3. Step 3: Cross multiply
    109.50x = 164.06 × 102.01
  4. Step 4: Simplify right side
    109.50x = 16,734.84
  5. Step 5: Solve for x
    x = 16,734.84/109.50
  6. Step 6: Final answer
    x = 152.83

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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.