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Finding the Fourth Proportional to 135.64, 187.20 and 77.42

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Solution

The fourth proportional to 135.64, 187.20 and 77.42 is: 106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.64 : 187.20 = 77.42 : x
  2. Step 2: Convert to fraction form
    135.64/187.20 = 77.42/x
  3. Step 3: Cross multiply
    135.64x = 187.20 × 77.42
  4. Step 4: Simplify right side
    135.64x = 14,493.02
  5. Step 5: Solve for x
    x = 14,493.02/135.64
  6. Step 6: Final answer
    x = 106.85

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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.