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Finding the Fourth Proportional to 134.63, 202.84 and 115.79

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Solution

The fourth proportional to 134.63, 202.84 and 115.79 is: 174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.63 : 202.84 = 115.79 : x
  2. Step 2: Convert to fraction form
    134.63/202.84 = 115.79/x
  3. Step 3: Cross multiply
    134.63x = 202.84 × 115.79
  4. Step 4: Simplify right side
    134.63x = 23,486.26
  5. Step 5: Solve for x
    x = 23,486.26/134.63
  6. Step 6: Final answer
    x = 174.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.