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Finding the Fourth Proportional to 21.61, 29.65 and 21.24

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Solution

The fourth proportional to 21.61, 29.65 and 21.24 is: 29.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.61 : 29.65 = 21.24 : x
  2. Step 2: Convert to fraction form
    21.61/29.65 = 21.24/x
  3. Step 3: Cross multiply
    21.61x = 29.65 × 21.24
  4. Step 4: Simplify right side
    21.61x = 629.77
  5. Step 5: Solve for x
    x = 629.77/21.61
  6. Step 6: Final answer
    x = 29.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.