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Finding the Fourth Proportional to 145.05, 200.11 and 89.76

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Solution

The fourth proportional to 145.05, 200.11 and 89.76 is: 123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.05 : 200.11 = 89.76 : x
  2. Step 2: Convert to fraction form
    145.05/200.11 = 89.76/x
  3. Step 3: Cross multiply
    145.05x = 200.11 × 89.76
  4. Step 4: Simplify right side
    145.05x = 17,961.87
  5. Step 5: Solve for x
    x = 17,961.87/145.05
  6. Step 6: Final answer
    x = 123.83

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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.