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Finding the Fourth Proportional to 19.50, 29.10 and 17.48

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Solution

The fourth proportional to 19.50, 29.10 and 17.48 is: 26.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.50 : 29.10 = 17.48 : x
  2. Step 2: Convert to fraction form
    19.50/29.10 = 17.48/x
  3. Step 3: Cross multiply
    19.50x = 29.10 × 17.48
  4. Step 4: Simplify right side
    19.50x = 508.67
  5. Step 5: Solve for x
    x = 508.67/19.50
  6. Step 6: Final answer
    x = 26.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.