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Finding the Fourth Proportional to 135.32, 202.30 and 104.91

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Solution

The fourth proportional to 135.32, 202.30 and 104.91 is: 156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.32 : 202.30 = 104.91 : x
  2. Step 2: Convert to fraction form
    135.32/202.30 = 104.91/x
  3. Step 3: Cross multiply
    135.32x = 202.30 × 104.91
  4. Step 4: Simplify right side
    135.32x = 21,222.56
  5. Step 5: Solve for x
    x = 21,222.56/135.32
  6. Step 6: Final answer
    x = 156.83

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