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Finding the Fourth Proportional to 30.57, 45.84 and 10.27

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Solution

The fourth proportional to 30.57, 45.84 and 10.27 is: 15.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.57 : 45.84 = 10.27 : x
  2. Step 2: Convert to fraction form
    30.57/45.84 = 10.27/x
  3. Step 3: Cross multiply
    30.57x = 45.84 × 10.27
  4. Step 4: Simplify right side
    30.57x = 470.78
  5. Step 5: Solve for x
    x = 470.78/30.57
  6. Step 6: Final answer
    x = 15.40

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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.