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Finding the Fourth Proportional to 43.12, 59.40 and 33.40

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Solution

The fourth proportional to 43.12, 59.40 and 33.40 is: 46.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.12 : 59.40 = 33.40 : x
  2. Step 2: Convert to fraction form
    43.12/59.40 = 33.40/x
  3. Step 3: Cross multiply
    43.12x = 59.40 × 33.40
  4. Step 4: Simplify right side
    43.12x = 1,983.96
  5. Step 5: Solve for x
    x = 1,983.96/43.12
  6. Step 6: Final answer
    x = 46.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.