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Finding the Fourth Proportional to 14.19, 19.53 and 10.54

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Solution

The fourth proportional to 14.19, 19.53 and 10.54 is: 14.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.19 : 19.53 = 10.54 : x
  2. Step 2: Convert to fraction form
    14.19/19.53 = 10.54/x
  3. Step 3: Cross multiply
    14.19x = 19.53 × 10.54
  4. Step 4: Simplify right side
    14.19x = 205.85
  5. Step 5: Solve for x
    x = 205.85/14.19
  6. Step 6: Final answer
    x = 14.51

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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.