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Finding the Fourth Proportional to 43.65, 65.42 and 32.24

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Solution

The fourth proportional to 43.65, 65.42 and 32.24 is: 48.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.65 : 65.42 = 32.24 : x
  2. Step 2: Convert to fraction form
    43.65/65.42 = 32.24/x
  3. Step 3: Cross multiply
    43.65x = 65.42 × 32.24
  4. Step 4: Simplify right side
    43.65x = 2,109.14
  5. Step 5: Solve for x
    x = 2,109.14/43.65
  6. Step 6: Final answer
    x = 48.32

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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.