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Finding the Fourth Proportional to 21.74, 32.58 and 11.60

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Solution

The fourth proportional to 21.74, 32.58 and 11.60 is: 17.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.74 : 32.58 = 11.60 : x
  2. Step 2: Convert to fraction form
    21.74/32.58 = 11.60/x
  3. Step 3: Cross multiply
    21.74x = 32.58 × 11.60
  4. Step 4: Simplify right side
    21.74x = 377.77
  5. Step 5: Solve for x
    x = 377.77/21.74
  6. Step 6: Final answer
    x = 17.38

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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.