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Finding the Fourth Proportional to 25.64, 38.54 and 23.40

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Solution

The fourth proportional to 25.64, 38.54 and 23.40 is: 35.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.64 : 38.54 = 23.40 : x
  2. Step 2: Convert to fraction form
    25.64/38.54 = 23.40/x
  3. Step 3: Cross multiply
    25.64x = 38.54 × 23.40
  4. Step 4: Simplify right side
    25.64x = 901.84
  5. Step 5: Solve for x
    x = 901.84/25.64
  6. Step 6: Final answer
    x = 35.17

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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.