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Finding the Fourth Proportional to 42.10, 63.09 and 21.77

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Solution

The fourth proportional to 42.10, 63.09 and 21.77 is: 32.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.10 : 63.09 = 21.77 : x
  2. Step 2: Convert to fraction form
    42.10/63.09 = 21.77/x
  3. Step 3: Cross multiply
    42.10x = 63.09 × 21.77
  4. Step 4: Simplify right side
    42.10x = 1,373.05
  5. Step 5: Solve for x
    x = 1,373.05/42.10
  6. Step 6: Final answer
    x = 32.62

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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.