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Finding the Fourth Proportional to 21.78, 32.64 and 9.75

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Solution

The fourth proportional to 21.78, 32.64 and 9.75 is: 14.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.78 : 32.64 = 9.75 : x
  2. Step 2: Convert to fraction form
    21.78/32.64 = 9.75/x
  3. Step 3: Cross multiply
    21.78x = 32.64 × 9.75
  4. Step 4: Simplify right side
    21.78x = 318.24
  5. Step 5: Solve for x
    x = 318.24/21.78
  6. Step 6: Final answer
    x = 14.61

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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.