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Finding the Fourth Proportional to 109.75, 164.53 and 48.86

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Solution

The fourth proportional to 109.75, 164.53 and 48.86 is: 73.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 164.53 = 48.86 : x
  2. Step 2: Convert to fraction form
    109.75/164.53 = 48.86/x
  3. Step 3: Cross multiply
    109.75x = 164.53 × 48.86
  4. Step 4: Simplify right side
    109.75x = 8,039.81
  5. Step 5: Solve for x
    x = 8,039.81/109.75
  6. Step 6: Final answer
    x = 73.25

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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.