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Finding the Fourth Proportional to 52.31, 78.45 and 31.75

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Solution

The fourth proportional to 52.31, 78.45 and 31.75 is: 47.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.31 : 78.45 = 31.75 : x
  2. Step 2: Convert to fraction form
    52.31/78.45 = 31.75/x
  3. Step 3: Cross multiply
    52.31x = 78.45 × 31.75
  4. Step 4: Simplify right side
    52.31x = 2,490.79
  5. Step 5: Solve for x
    x = 2,490.79/52.31
  6. Step 6: Final answer
    x = 47.62

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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.