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Finding the Fourth Proportional to 42.32, 63.46 and 16.64

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Solution

The fourth proportional to 42.32, 63.46 and 16.64 is: 24.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.32 : 63.46 = 16.64 : x
  2. Step 2: Convert to fraction form
    42.32/63.46 = 16.64/x
  3. Step 3: Cross multiply
    42.32x = 63.46 × 16.64
  4. Step 4: Simplify right side
    42.32x = 1,056.09
  5. Step 5: Solve for x
    x = 1,056.09/42.32
  6. Step 6: Final answer
    x = 24.96

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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.