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Finding the Fourth Proportional to 65.47, 98.19 and 31.19

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Solution

The fourth proportional to 65.47, 98.19 and 31.19 is: 46.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.47 : 98.19 = 31.19 : x
  2. Step 2: Convert to fraction form
    65.47/98.19 = 31.19/x
  3. Step 3: Cross multiply
    65.47x = 98.19 × 31.19
  4. Step 4: Simplify right side
    65.47x = 3,062.79
  5. Step 5: Solve for x
    x = 3,062.79/65.47
  6. Step 6: Final answer
    x = 46.78

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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.