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Finding the Fourth Proportional to 65.37, 98.07 and 31.12

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Solution

The fourth proportional to 65.37, 98.07 and 31.12 is: 46.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.37 : 98.07 = 31.12 : x
  2. Step 2: Convert to fraction form
    65.37/98.07 = 31.12/x
  3. Step 3: Cross multiply
    65.37x = 98.07 × 31.12
  4. Step 4: Simplify right side
    65.37x = 3,051.94
  5. Step 5: Solve for x
    x = 3,051.94/65.37
  6. Step 6: Final answer
    x = 46.69

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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.