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Finding the Fourth Proportional to 52.31, 78.50 and 18.09

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Solution

The fourth proportional to 52.31, 78.50 and 18.09 is: 27.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.31 : 78.50 = 18.09 : x
  2. Step 2: Convert to fraction form
    52.31/78.50 = 18.09/x
  3. Step 3: Cross multiply
    52.31x = 78.50 × 18.09
  4. Step 4: Simplify right side
    52.31x = 1,420.07
  5. Step 5: Solve for x
    x = 1,420.07/52.31
  6. Step 6: Final answer
    x = 27.15

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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.