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Finding the Fourth Proportional to 14.61, 21.89 and 6.48

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Solution

The fourth proportional to 14.61, 21.89 and 6.48 is: 9.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.61 : 21.89 = 6.48 : x
  2. Step 2: Convert to fraction form
    14.61/21.89 = 6.48/x
  3. Step 3: Cross multiply
    14.61x = 21.89 × 6.48
  4. Step 4: Simplify right side
    14.61x = 141.85
  5. Step 5: Solve for x
    x = 141.85/14.61
  6. Step 6: Final answer
    x = 9.71

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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.