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Finding the Fourth Proportional to 21.76, 32.58 and 11.62

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Solution

The fourth proportional to 21.76, 32.58 and 11.62 is: 17.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.76 : 32.58 = 11.62 : x
  2. Step 2: Convert to fraction form
    21.76/32.58 = 11.62/x
  3. Step 3: Cross multiply
    21.76x = 32.58 × 11.62
  4. Step 4: Simplify right side
    21.76x = 378.58
  5. Step 5: Solve for x
    x = 378.58/21.76
  6. Step 6: Final answer
    x = 17.40

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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.