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Finding the Fourth Proportional to 65.75, 98.42 and 45.14

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Solution

The fourth proportional to 65.75, 98.42 and 45.14 is: 67.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.75 : 98.42 = 45.14 : x
  2. Step 2: Convert to fraction form
    65.75/98.42 = 45.14/x
  3. Step 3: Cross multiply
    65.75x = 98.42 × 45.14
  4. Step 4: Simplify right side
    65.75x = 4,442.55
  5. Step 5: Solve for x
    x = 4,442.55/65.75
  6. Step 6: Final answer
    x = 67.57

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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.