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Finding the Fourth Proportional to 34.96, 52.35 and 21.40

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Solution

The fourth proportional to 34.96, 52.35 and 21.40 is: 32.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.96 : 52.35 = 21.40 : x
  2. Step 2: Convert to fraction form
    34.96/52.35 = 21.40/x
  3. Step 3: Cross multiply
    34.96x = 52.35 × 21.40
  4. Step 4: Simplify right side
    34.96x = 1,120.29
  5. Step 5: Solve for x
    x = 1,120.29/34.96
  6. Step 6: Final answer
    x = 32.04

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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.