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Finding the Fourth Proportional to 73.45, 109.46 and 69.07

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Solution

The fourth proportional to 73.45, 109.46 and 69.07 is: 102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.45 : 109.46 = 69.07 : x
  2. Step 2: Convert to fraction form
    73.45/109.46 = 69.07/x
  3. Step 3: Cross multiply
    73.45x = 109.46 × 69.07
  4. Step 4: Simplify right side
    73.45x = 7,560.40
  5. Step 5: Solve for x
    x = 7,560.40/73.45
  6. Step 6: Final answer
    x = 102.93

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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.