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Finding the Fourth Proportional to 57.14, 85.71 and 21.10

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Solution

The fourth proportional to 57.14, 85.71 and 21.10 is: 31.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.14 : 85.71 = 21.10 : x
  2. Step 2: Convert to fraction form
    57.14/85.71 = 21.10/x
  3. Step 3: Cross multiply
    57.14x = 85.71 × 21.10
  4. Step 4: Simplify right side
    57.14x = 1,808.48
  5. Step 5: Solve for x
    x = 1,808.48/57.14
  6. Step 6: Final answer
    x = 31.65

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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.