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Finding the Fourth Proportional to 34.32, 51.41 and 21.45

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Solution

The fourth proportional to 34.32, 51.41 and 21.45 is: 32.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.32 : 51.41 = 21.45 : x
  2. Step 2: Convert to fraction form
    34.32/51.41 = 21.45/x
  3. Step 3: Cross multiply
    34.32x = 51.41 × 21.45
  4. Step 4: Simplify right side
    34.32x = 1,102.74
  5. Step 5: Solve for x
    x = 1,102.74/34.32
  6. Step 6: Final answer
    x = 32.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.