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Finding the Fourth Proportional to 43.71, 65.55 and 22.32

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Solution

The fourth proportional to 43.71, 65.55 and 22.32 is: 33.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.71 : 65.55 = 22.32 : x
  2. Step 2: Convert to fraction form
    43.71/65.55 = 22.32/x
  3. Step 3: Cross multiply
    43.71x = 65.55 × 22.32
  4. Step 4: Simplify right side
    43.71x = 1,463.08
  5. Step 5: Solve for x
    x = 1,463.08/43.71
  6. Step 6: Final answer
    x = 33.47

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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.