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Finding the Fourth Proportional to 71.80, 107.64 and 35.72

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Solution

The fourth proportional to 71.80, 107.64 and 35.72 is: 53.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.80 : 107.64 = 35.72 : x
  2. Step 2: Convert to fraction form
    71.80/107.64 = 35.72/x
  3. Step 3: Cross multiply
    71.80x = 107.64 × 35.72
  4. Step 4: Simplify right side
    71.80x = 3,844.90
  5. Step 5: Solve for x
    x = 3,844.90/71.80
  6. Step 6: Final answer
    x = 53.55

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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.