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Finding the Fourth Proportional to 32.10, 48.12 and 12.84

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Solution

The fourth proportional to 32.10, 48.12 and 12.84 is: 19.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.10 : 48.12 = 12.84 : x
  2. Step 2: Convert to fraction form
    32.10/48.12 = 12.84/x
  3. Step 3: Cross multiply
    32.10x = 48.12 × 12.84
  4. Step 4: Simplify right side
    32.10x = 617.56
  5. Step 5: Solve for x
    x = 617.56/32.10
  6. Step 6: Final answer
    x = 19.24

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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.