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Finding the Fourth Proportional to 25.64, 38.45 and 12.10

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Solution

The fourth proportional to 25.64, 38.45 and 12.10 is: 18.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.64 : 38.45 = 12.10 : x
  2. Step 2: Convert to fraction form
    25.64/38.45 = 12.10/x
  3. Step 3: Cross multiply
    25.64x = 38.45 × 12.10
  4. Step 4: Simplify right side
    25.64x = 465.22
  5. Step 5: Solve for x
    x = 465.22/25.64
  6. Step 6: Final answer
    x = 18.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.