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Finding the Fourth Proportional to 145.91, 201.30 and 102.27

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Solution

The fourth proportional to 145.91, 201.30 and 102.27 is: 141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.91 : 201.30 = 102.27 : x
  2. Step 2: Convert to fraction form
    145.91/201.30 = 102.27/x
  3. Step 3: Cross multiply
    145.91x = 201.30 × 102.27
  4. Step 4: Simplify right side
    145.91x = 20,586.95
  5. Step 5: Solve for x
    x = 20,586.95/145.91
  6. Step 6: Final answer
    x = 141.09

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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.