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Finding the Fourth Proportional to 135.96, 202.80 and 120.72

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Solution

The fourth proportional to 135.96, 202.80 and 120.72 is: 180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.96 : 202.80 = 120.72 : x
  2. Step 2: Convert to fraction form
    135.96/202.80 = 120.72/x
  3. Step 3: Cross multiply
    135.96x = 202.80 × 120.72
  4. Step 4: Simplify right side
    135.96x = 24,482.02
  5. Step 5: Solve for x
    x = 24,482.02/135.96
  6. Step 6: Final answer
    x = 180.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.