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Finding the Fourth Proportional to 109.65, 164.37 and 45.48

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Solution

The fourth proportional to 109.65, 164.37 and 45.48 is: 68.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.65 : 164.37 = 45.48 : x
  2. Step 2: Convert to fraction form
    109.65/164.37 = 45.48/x
  3. Step 3: Cross multiply
    109.65x = 164.37 × 45.48
  4. Step 4: Simplify right side
    109.65x = 7,475.55
  5. Step 5: Solve for x
    x = 7,475.55/109.65
  6. Step 6: Final answer
    x = 68.18

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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.