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Finding the Fourth Proportional to 32.98, 49.42 and 21.57

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Solution

The fourth proportional to 32.98, 49.42 and 21.57 is: 32.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.98 : 49.42 = 21.57 : x
  2. Step 2: Convert to fraction form
    32.98/49.42 = 21.57/x
  3. Step 3: Cross multiply
    32.98x = 49.42 × 21.57
  4. Step 4: Simplify right side
    32.98x = 1,065.99
  5. Step 5: Solve for x
    x = 1,065.99/32.98
  6. Step 6: Final answer
    x = 32.32

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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.