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Finding the Fourth Proportional to 19.48, 29.10 and 13

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Solution

The fourth proportional to 19.48, 29.10 and 13 is: 19.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.48 : 29.10 = 13 : x
  2. Step 2: Convert to fraction form
    19.48/29.10 = 13/x
  3. Step 3: Cross multiply
    19.48x = 29.10 × 13
  4. Step 4: Simplify right side
    19.48x = 378.30
  5. Step 5: Solve for x
    x = 378.30/19.48
  6. Step 6: Final answer
    x = 19.42

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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.