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Finding the Fourth Proportional to 145.67, 200.97 and 83.46

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Solution

The fourth proportional to 145.67, 200.97 and 83.46 is: 115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.67 : 200.97 = 83.46 : x
  2. Step 2: Convert to fraction form
    145.67/200.97 = 83.46/x
  3. Step 3: Cross multiply
    145.67x = 200.97 × 83.46
  4. Step 4: Simplify right side
    145.67x = 16,773.27
  5. Step 5: Solve for x
    x = 16,773.27/145.67
  6. Step 6: Final answer
    x = 115.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.