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Finding the Fourth Proportional to 71.63, 107.50 and 37.40

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Solution

The fourth proportional to 71.63, 107.50 and 37.40 is: 56.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.63 : 107.50 = 37.40 : x
  2. Step 2: Convert to fraction form
    71.63/107.50 = 37.40/x
  3. Step 3: Cross multiply
    71.63x = 107.50 × 37.40
  4. Step 4: Simplify right side
    71.63x = 4,020.68
  5. Step 5: Solve for x
    x = 4,020.68/71.63
  6. Step 6: Final answer
    x = 56.14

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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.