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Finding the Fourth Proportional to 32.70, 45.14 and 21.05

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Solution

The fourth proportional to 32.70, 45.14 and 21.05 is: 29.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.70 : 45.14 = 21.05 : x
  2. Step 2: Convert to fraction form
    32.70/45.14 = 21.05/x
  3. Step 3: Cross multiply
    32.70x = 45.14 × 21.05
  4. Step 4: Simplify right side
    32.70x = 949.87
  5. Step 5: Solve for x
    x = 949.87/32.70
  6. Step 6: Final answer
    x = 29.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.