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Finding the Fourth Proportional to 32.63, 48.91 and 16.60

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Solution

The fourth proportional to 32.63, 48.91 and 16.60 is: 24.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.63 : 48.91 = 16.60 : x
  2. Step 2: Convert to fraction form
    32.63/48.91 = 16.60/x
  3. Step 3: Cross multiply
    32.63x = 48.91 × 16.60
  4. Step 4: Simplify right side
    32.63x = 811.91
  5. Step 5: Solve for x
    x = 811.91/32.63
  6. Step 6: Final answer
    x = 24.88

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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.