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Finding the Fourth Proportional to 65.68, 98.49 and 31.42

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Solution

The fourth proportional to 65.68, 98.49 and 31.42 is: 47.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.68 : 98.49 = 31.42 : x
  2. Step 2: Convert to fraction form
    65.68/98.49 = 31.42/x
  3. Step 3: Cross multiply
    65.68x = 98.49 × 31.42
  4. Step 4: Simplify right side
    65.68x = 3,094.82
  5. Step 5: Solve for x
    x = 3,094.82/65.68
  6. Step 6: Final answer
    x = 47.12

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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.