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Finding the Fourth Proportional to 57.02, 78.68 and 31.14

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Solution

The fourth proportional to 57.02, 78.68 and 31.14 is: 42.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 78.68 = 31.14 : x
  2. Step 2: Convert to fraction form
    57.02/78.68 = 31.14/x
  3. Step 3: Cross multiply
    57.02x = 78.68 × 31.14
  4. Step 4: Simplify right side
    57.02x = 2,450.37
  5. Step 5: Solve for x
    x = 2,450.37/57.02
  6. Step 6: Final answer
    x = 42.98

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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.