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Finding the Fourth Proportional to 57, 78.66 and 31.13

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Solution

The fourth proportional to 57, 78.66 and 31.13 is: 42.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 78.66 = 31.13 : x
  2. Step 2: Convert to fraction form
    57/78.66 = 31.13/x
  3. Step 3: Cross multiply
    57x = 78.66 × 31.13
  4. Step 4: Simplify right side
    57x = 2,448.29
  5. Step 5: Solve for x
    x = 2,448.29/57
  6. Step 6: Final answer
    x = 42.95

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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.