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Finding the Fourth Proportional to 135.71, 203.32 and 114.18

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Solution

The fourth proportional to 135.71, 203.32 and 114.18 is: 171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.71 : 203.32 = 114.18 : x
  2. Step 2: Convert to fraction form
    135.71/203.32 = 114.18/x
  3. Step 3: Cross multiply
    135.71x = 203.32 × 114.18
  4. Step 4: Simplify right side
    135.71x = 23,214.84
  5. Step 5: Solve for x
    x = 23,214.84/135.71
  6. Step 6: Final answer
    x = 171.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.