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Finding the Fourth Proportional to 52.31, 78.53 and 37.07

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Solution

The fourth proportional to 52.31, 78.53 and 37.07 is: 55.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.31 : 78.53 = 37.07 : x
  2. Step 2: Convert to fraction form
    52.31/78.53 = 37.07/x
  3. Step 3: Cross multiply
    52.31x = 78.53 × 37.07
  4. Step 4: Simplify right side
    52.31x = 2,910.92
  5. Step 5: Solve for x
    x = 2,910.92/52.31
  6. Step 6: Final answer
    x = 55.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.