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Finding the Fourth Proportional to 16.42, 24.64 and 9.57

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Solution

The fourth proportional to 16.42, 24.64 and 9.57 is: 14.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.42 : 24.64 = 9.57 : x
  2. Step 2: Convert to fraction form
    16.42/24.64 = 9.57/x
  3. Step 3: Cross multiply
    16.42x = 24.64 × 9.57
  4. Step 4: Simplify right side
    16.42x = 235.80
  5. Step 5: Solve for x
    x = 235.80/16.42
  6. Step 6: Final answer
    x = 14.36

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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.