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Finding the Fourth Proportional to 145.90, 201.31 and 82.88

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Solution

The fourth proportional to 145.90, 201.31 and 82.88 is: 114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.90 : 201.31 = 82.88 : x
  2. Step 2: Convert to fraction form
    145.90/201.31 = 82.88/x
  3. Step 3: Cross multiply
    145.90x = 201.31 × 82.88
  4. Step 4: Simplify right side
    145.90x = 16,684.57
  5. Step 5: Solve for x
    x = 16,684.57/145.90
  6. Step 6: Final answer
    x = 114.36

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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.