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Finding the Fourth Proportional to 29.69, 41.02 and 21.48

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Solution

The fourth proportional to 29.69, 41.02 and 21.48 is: 29.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.69 : 41.02 = 21.48 : x
  2. Step 2: Convert to fraction form
    29.69/41.02 = 21.48/x
  3. Step 3: Cross multiply
    29.69x = 41.02 × 21.48
  4. Step 4: Simplify right side
    29.69x = 881.11
  5. Step 5: Solve for x
    x = 881.11/29.69
  6. Step 6: Final answer
    x = 29.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.