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Finding the Fourth Proportional to 65.71, 98.50 and 31.46

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Solution

The fourth proportional to 65.71, 98.50 and 31.46 is: 47.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.71 : 98.50 = 31.46 : x
  2. Step 2: Convert to fraction form
    65.71/98.50 = 31.46/x
  3. Step 3: Cross multiply
    65.71x = 98.50 × 31.46
  4. Step 4: Simplify right side
    65.71x = 3,098.54
  5. Step 5: Solve for x
    x = 3,098.54/65.71
  6. Step 6: Final answer
    x = 47.16

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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.