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Finding the Fourth Proportional to 145.38, 200.65 and 83.23

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Solution

The fourth proportional to 145.38, 200.65 and 83.23 is: 114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.38 : 200.65 = 83.23 : x
  2. Step 2: Convert to fraction form
    145.38/200.65 = 83.23/x
  3. Step 3: Cross multiply
    145.38x = 200.65 × 83.23
  4. Step 4: Simplify right side
    145.38x = 16,699.39
  5. Step 5: Solve for x
    x = 16,699.39/145.38
  6. Step 6: Final answer
    x = 114.86

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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.