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Finding the Fourth Proportional to 57.17, 85.75 and 30.09

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Solution

The fourth proportional to 57.17, 85.75 and 30.09 is: 45.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.17 : 85.75 = 30.09 : x
  2. Step 2: Convert to fraction form
    57.17/85.75 = 30.09/x
  3. Step 3: Cross multiply
    57.17x = 85.75 × 30.09
  4. Step 4: Simplify right side
    57.17x = 2,580.46
  5. Step 5: Solve for x
    x = 2,580.46/57.17
  6. Step 6: Final answer
    x = 45.13

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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.