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Finding the Fourth Proportional to 43.74, 65.64 and 19.70

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Solution

The fourth proportional to 43.74, 65.64 and 19.70 is: 29.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.74 : 65.64 = 19.70 : x
  2. Step 2: Convert to fraction form
    43.74/65.64 = 19.70/x
  3. Step 3: Cross multiply
    43.74x = 65.64 × 19.70
  4. Step 4: Simplify right side
    43.74x = 1,293.11
  5. Step 5: Solve for x
    x = 1,293.11/43.74
  6. Step 6: Final answer
    x = 29.56

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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.