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Finding the Fourth Proportional to 145.73, 201.14 and 83.57

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Solution

The fourth proportional to 145.73, 201.14 and 83.57 is: 115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.73 : 201.14 = 83.57 : x
  2. Step 2: Convert to fraction form
    145.73/201.14 = 83.57/x
  3. Step 3: Cross multiply
    145.73x = 201.14 × 83.57
  4. Step 4: Simplify right side
    145.73x = 16,807.85
  5. Step 5: Solve for x
    x = 16,807.85/145.73
  6. Step 6: Final answer
    x = 115.34

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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.