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Finding the Fourth Proportional to 65.68, 98.54 and 31.45

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Solution

The fourth proportional to 65.68, 98.54 and 31.45 is: 47.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.68 : 98.54 = 31.45 : x
  2. Step 2: Convert to fraction form
    65.68/98.54 = 31.45/x
  3. Step 3: Cross multiply
    65.68x = 98.54 × 31.45
  4. Step 4: Simplify right side
    65.68x = 3,099.08
  5. Step 5: Solve for x
    x = 3,099.08/65.68
  6. Step 6: Final answer
    x = 47.18

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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.