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Finding the Fourth Proportional to 30.99, 46.54 and 25.02

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Solution

The fourth proportional to 30.99, 46.54 and 25.02 is: 37.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.99 : 46.54 = 25.02 : x
  2. Step 2: Convert to fraction form
    30.99/46.54 = 25.02/x
  3. Step 3: Cross multiply
    30.99x = 46.54 × 25.02
  4. Step 4: Simplify right side
    30.99x = 1,164.43
  5. Step 5: Solve for x
    x = 1,164.43/30.99
  6. Step 6: Final answer
    x = 37.57

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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.