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Finding the Fourth Proportional to 145.13, 200.29 and 82.96

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Solution

The fourth proportional to 145.13, 200.29 and 82.96 is: 114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 200.29 = 82.96 : x
  2. Step 2: Convert to fraction form
    145.13/200.29 = 82.96/x
  3. Step 3: Cross multiply
    145.13x = 200.29 × 82.96
  4. Step 4: Simplify right side
    145.13x = 16,614.64
  5. Step 5: Solve for x
    x = 16,614.64/145.13
  6. Step 6: Final answer
    x = 114.48

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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.