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Finding the Fourth Proportional to 135.42, 187.19 and 120.57

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Solution

The fourth proportional to 135.42, 187.19 and 120.57 is: 166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 187.19 = 120.57 : x
  2. Step 2: Convert to fraction form
    135.42/187.19 = 120.57/x
  3. Step 3: Cross multiply
    135.42x = 187.19 × 120.57
  4. Step 4: Simplify right side
    135.42x = 22,569.50
  5. Step 5: Solve for x
    x = 22,569.50/135.42
  6. Step 6: Final answer
    x = 166.66

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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.