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Finding the Fourth Proportional to 145.73, 201.08 and 83.57

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Solution

The fourth proportional to 145.73, 201.08 and 83.57 is: 115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.73 : 201.08 = 83.57 : x
  2. Step 2: Convert to fraction form
    145.73/201.08 = 83.57/x
  3. Step 3: Cross multiply
    145.73x = 201.08 × 83.57
  4. Step 4: Simplify right side
    145.73x = 16,803.46
  5. Step 5: Solve for x
    x = 16,803.46/145.73
  6. Step 6: Final answer
    x = 115.30

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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.