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Finding the Fourth Proportional to 30.57, 42.07 and 25.13

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Solution

The fourth proportional to 30.57, 42.07 and 25.13 is: 34.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.57 : 42.07 = 25.13 : x
  2. Step 2: Convert to fraction form
    30.57/42.07 = 25.13/x
  3. Step 3: Cross multiply
    30.57x = 42.07 × 25.13
  4. Step 4: Simplify right side
    30.57x = 1,057.22
  5. Step 5: Solve for x
    x = 1,057.22/30.57
  6. Step 6: Final answer
    x = 34.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.