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Finding the Fourth Proportional to 57.10, 85.60 and 21.02

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Solution

The fourth proportional to 57.10, 85.60 and 21.02 is: 31.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.10 : 85.60 = 21.02 : x
  2. Step 2: Convert to fraction form
    57.10/85.60 = 21.02/x
  3. Step 3: Cross multiply
    57.10x = 85.60 × 21.02
  4. Step 4: Simplify right side
    57.10x = 1,799.31
  5. Step 5: Solve for x
    x = 1,799.31/57.10
  6. Step 6: Final answer
    x = 31.51

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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.