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Finding the Fourth Proportional to 25.04, 37.54 and 9

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Solution

The fourth proportional to 25.04, 37.54 and 9 is: 13.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.04 : 37.54 = 9 : x
  2. Step 2: Convert to fraction form
    25.04/37.54 = 9/x
  3. Step 3: Cross multiply
    25.04x = 37.54 × 9
  4. Step 4: Simplify right side
    25.04x = 337.86
  5. Step 5: Solve for x
    x = 337.86/25.04
  6. Step 6: Final answer
    x = 13.49

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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.