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Finding the Fourth Proportional to 25.10, 34.64 and 14.19

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Solution

The fourth proportional to 25.10, 34.64 and 14.19 is: 19.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.10 : 34.64 = 14.19 : x
  2. Step 2: Convert to fraction form
    25.10/34.64 = 14.19/x
  3. Step 3: Cross multiply
    25.10x = 34.64 × 14.19
  4. Step 4: Simplify right side
    25.10x = 491.30
  5. Step 5: Solve for x
    x = 491.30/25.10
  6. Step 6: Final answer
    x = 19.58

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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.