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Finding the Fourth Proportional to 65.31, 97.84 and 52.41

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Solution

The fourth proportional to 65.31, 97.84 and 52.41 is: 78.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.31 : 97.84 = 52.41 : x
  2. Step 2: Convert to fraction form
    65.31/97.84 = 52.41/x
  3. Step 3: Cross multiply
    65.31x = 97.84 × 52.41
  4. Step 4: Simplify right side
    65.31x = 5,127.79
  5. Step 5: Solve for x
    x = 5,127.79/65.31
  6. Step 6: Final answer
    x = 78.51

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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.