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Finding the Fourth Proportional to 145.88, 201.33 and 83.72

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Solution

The fourth proportional to 145.88, 201.33 and 83.72 is: 115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.88 : 201.33 = 83.72 : x
  2. Step 2: Convert to fraction form
    145.88/201.33 = 83.72/x
  3. Step 3: Cross multiply
    145.88x = 201.33 × 83.72
  4. Step 4: Simplify right side
    145.88x = 16,855.35
  5. Step 5: Solve for x
    x = 16,855.35/145.88
  6. Step 6: Final answer
    x = 115.54

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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.