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Finding the Fourth Proportional to 71.65, 107.30 and 44.51

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Solution

The fourth proportional to 71.65, 107.30 and 44.51 is: 66.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.65 : 107.30 = 44.51 : x
  2. Step 2: Convert to fraction form
    71.65/107.30 = 44.51/x
  3. Step 3: Cross multiply
    71.65x = 107.30 × 44.51
  4. Step 4: Simplify right side
    71.65x = 4,775.92
  5. Step 5: Solve for x
    x = 4,775.92/71.65
  6. Step 6: Final answer
    x = 66.66

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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.