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Finding the Fourth Proportional to 73.45, 109.36 and 73.11

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Solution

The fourth proportional to 73.45, 109.36 and 73.11 is: 108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.45 : 109.36 = 73.11 : x
  2. Step 2: Convert to fraction form
    73.45/109.36 = 73.11/x
  3. Step 3: Cross multiply
    73.45x = 109.36 × 73.11
  4. Step 4: Simplify right side
    73.45x = 7,994.40
  5. Step 5: Solve for x
    x = 7,994.40/73.45
  6. Step 6: Final answer
    x = 108.85

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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.