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Finding the Fourth Proportional to 71.45, 107.00 and 37.16

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Solution

The fourth proportional to 71.45, 107.00 and 37.16 is: 55.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.45 : 107.00 = 37.16 : x
  2. Step 2: Convert to fraction form
    71.45/107.00 = 37.16/x
  3. Step 3: Cross multiply
    71.45x = 107.00 × 37.16
  4. Step 4: Simplify right side
    71.45x = 3,975.94
  5. Step 5: Solve for x
    x = 3,975.94/71.45
  6. Step 6: Final answer
    x = 55.65

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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.