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Finding the Fourth Proportional to 145.28, 200.49 and 79.79

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Solution

The fourth proportional to 145.28, 200.49 and 79.79 is: 110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.28 : 200.49 = 79.79 : x
  2. Step 2: Convert to fraction form
    145.28/200.49 = 79.79/x
  3. Step 3: Cross multiply
    145.28x = 200.49 × 79.79
  4. Step 4: Simplify right side
    145.28x = 15,997.10
  5. Step 5: Solve for x
    x = 15,997.10/145.28
  6. Step 6: Final answer
    x = 110.11

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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.