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Finding the Fourth Proportional to 73.24, 109.75 and 71.05

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Solution

The fourth proportional to 73.24, 109.75 and 71.05 is: 106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.24 : 109.75 = 71.05 : x
  2. Step 2: Convert to fraction form
    73.24/109.75 = 71.05/x
  3. Step 3: Cross multiply
    73.24x = 109.75 × 71.05
  4. Step 4: Simplify right side
    73.24x = 7,797.74
  5. Step 5: Solve for x
    x = 7,797.74/73.24
  6. Step 6: Final answer
    x = 106.47

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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.