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Finding the Fourth Proportional to 15.58, 21.49 and 11.48

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Solution

The fourth proportional to 15.58, 21.49 and 11.48 is: 15.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.58 : 21.49 = 11.48 : x
  2. Step 2: Convert to fraction form
    15.58/21.49 = 11.48/x
  3. Step 3: Cross multiply
    15.58x = 21.49 × 11.48
  4. Step 4: Simplify right side
    15.58x = 246.71
  5. Step 5: Solve for x
    x = 246.71/15.58
  6. Step 6: Final answer
    x = 15.83

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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.