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Finding the Fourth Proportional to 135.51, 202.76 and 120.32

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Solution

The fourth proportional to 135.51, 202.76 and 120.32 is: 180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.51 : 202.76 = 120.32 : x
  2. Step 2: Convert to fraction form
    135.51/202.76 = 120.32/x
  3. Step 3: Cross multiply
    135.51x = 202.76 × 120.32
  4. Step 4: Simplify right side
    135.51x = 24,395.48
  5. Step 5: Solve for x
    x = 24,395.48/135.51
  6. Step 6: Final answer
    x = 180.03

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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.