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Finding the Fourth Proportional to 25.16, 37.74 and 9.13

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Solution

The fourth proportional to 25.16, 37.74 and 9.13 is: 13.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.16 : 37.74 = 9.13 : x
  2. Step 2: Convert to fraction form
    25.16/37.74 = 9.13/x
  3. Step 3: Cross multiply
    25.16x = 37.74 × 9.13
  4. Step 4: Simplify right side
    25.16x = 344.38
  5. Step 5: Solve for x
    x = 344.38/25.16
  6. Step 6: Final answer
    x = 13.69

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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.