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Finding the Fourth Proportional to 43.47, 65.23 and 16.42

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Solution

The fourth proportional to 43.47, 65.23 and 16.42 is: 24.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.47 : 65.23 = 16.42 : x
  2. Step 2: Convert to fraction form
    43.47/65.23 = 16.42/x
  3. Step 3: Cross multiply
    43.47x = 65.23 × 16.42
  4. Step 4: Simplify right side
    43.47x = 1,070.67
  5. Step 5: Solve for x
    x = 1,070.67/43.47
  6. Step 6: Final answer
    x = 24.63

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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.