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Finding the Fourth Proportional to 21.77, 32.64 and 10.36

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Solution

The fourth proportional to 21.77, 32.64 and 10.36 is: 15.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.77 : 32.64 = 10.36 : x
  2. Step 2: Convert to fraction form
    21.77/32.64 = 10.36/x
  3. Step 3: Cross multiply
    21.77x = 32.64 × 10.36
  4. Step 4: Simplify right side
    21.77x = 338.15
  5. Step 5: Solve for x
    x = 338.15/21.77
  6. Step 6: Final answer
    x = 15.53

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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.