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Finding the Fourth Proportional to 145.51, 200.81 and 80.02

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Solution

The fourth proportional to 145.51, 200.81 and 80.02 is: 110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.51 : 200.81 = 80.02 : x
  2. Step 2: Convert to fraction form
    145.51/200.81 = 80.02/x
  3. Step 3: Cross multiply
    145.51x = 200.81 × 80.02
  4. Step 4: Simplify right side
    145.51x = 16,067.69
  5. Step 5: Solve for x
    x = 16,067.69/145.51
  6. Step 6: Final answer
    x = 110.42

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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.