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Finding the Fourth Proportional to 25.59, 38.40 and 9.57

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Solution

The fourth proportional to 25.59, 38.40 and 9.57 is: 14.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.59 : 38.40 = 9.57 : x
  2. Step 2: Convert to fraction form
    25.59/38.40 = 9.57/x
  3. Step 3: Cross multiply
    25.59x = 38.40 × 9.57
  4. Step 4: Simplify right side
    25.59x = 367.49
  5. Step 5: Solve for x
    x = 367.49/25.59
  6. Step 6: Final answer
    x = 14.36

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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.