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Finding the Fourth Proportional to 109.65, 164.63 and 73.10

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Solution

The fourth proportional to 109.65, 164.63 and 73.10 is: 109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.65 : 164.63 = 73.10 : x
  2. Step 2: Convert to fraction form
    109.65/164.63 = 73.10/x
  3. Step 3: Cross multiply
    109.65x = 164.63 × 73.10
  4. Step 4: Simplify right side
    109.65x = 12,033.26
  5. Step 5: Solve for x
    x = 12,033.26/109.65
  6. Step 6: Final answer
    x = 109.74

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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.