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Finding the Fourth Proportional to 145.86, 201.20 and 102.12

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Solution

The fourth proportional to 145.86, 201.20 and 102.12 is: 140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.86 : 201.20 = 102.12 : x
  2. Step 2: Convert to fraction form
    145.86/201.20 = 102.12/x
  3. Step 3: Cross multiply
    145.86x = 201.20 × 102.12
  4. Step 4: Simplify right side
    145.86x = 20,546.54
  5. Step 5: Solve for x
    x = 20,546.54/145.86
  6. Step 6: Final answer
    x = 140.86

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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.