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Finding the Fourth Proportional to 42.04, 63.01 and 21.70

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Solution

The fourth proportional to 42.04, 63.01 and 21.70 is: 32.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.04 : 63.01 = 21.70 : x
  2. Step 2: Convert to fraction form
    42.04/63.01 = 21.70/x
  3. Step 3: Cross multiply
    42.04x = 63.01 × 21.70
  4. Step 4: Simplify right side
    42.04x = 1,367.32
  5. Step 5: Solve for x
    x = 1,367.32/42.04
  6. Step 6: Final answer
    x = 32.52

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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.