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Finding the Fourth Proportional to 135.47, 202.90 and 115.99

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Solution

The fourth proportional to 135.47, 202.90 and 115.99 is: 173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.47 : 202.90 = 115.99 : x
  2. Step 2: Convert to fraction form
    135.47/202.90 = 115.99/x
  3. Step 3: Cross multiply
    135.47x = 202.90 × 115.99
  4. Step 4: Simplify right side
    135.47x = 23,534.37
  5. Step 5: Solve for x
    x = 23,534.37/135.47
  6. Step 6: Final answer
    x = 173.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.