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Finding the Fourth Proportional to 135.54, 187.31 and 120.35

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Solution

The fourth proportional to 135.54, 187.31 and 120.35 is: 166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.54 : 187.31 = 120.35 : x
  2. Step 2: Convert to fraction form
    135.54/187.31 = 120.35/x
  3. Step 3: Cross multiply
    135.54x = 187.31 × 120.35
  4. Step 4: Simplify right side
    135.54x = 22,543.53
  5. Step 5: Solve for x
    x = 22,543.53/135.54
  6. Step 6: Final answer
    x = 166.32

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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.