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Finding the Fourth Proportional to 73.56, 109.62 and 69.23

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Solution

The fourth proportional to 73.56, 109.62 and 69.23 is: 103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.56 : 109.62 = 69.23 : x
  2. Step 2: Convert to fraction form
    73.56/109.62 = 69.23/x
  3. Step 3: Cross multiply
    73.56x = 109.62 × 69.23
  4. Step 4: Simplify right side
    73.56x = 7,588.44
  5. Step 5: Solve for x
    x = 7,588.44/73.56
  6. Step 6: Final answer
    x = 103.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.