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Finding the Fourth Proportional to 23.42, 35.06 and 16.64

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Solution

The fourth proportional to 23.42, 35.06 and 16.64 is: 24.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.42 : 35.06 = 16.64 : x
  2. Step 2: Convert to fraction form
    23.42/35.06 = 16.64/x
  3. Step 3: Cross multiply
    23.42x = 35.06 × 16.64
  4. Step 4: Simplify right side
    23.42x = 583.14
  5. Step 5: Solve for x
    x = 583.14/23.42
  6. Step 6: Final answer
    x = 24.90

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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.