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Finding the Fourth Proportional to 138.51, 191.93 and 135.32

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Solution

The fourth proportional to 138.51, 191.93 and 135.32 is: 187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.51 : 191.93 = 135.32 : x
  2. Step 2: Convert to fraction form
    138.51/191.93 = 135.32/x
  3. Step 3: Cross multiply
    138.51x = 191.93 × 135.32
  4. Step 4: Simplify right side
    138.51x = 25,972.36
  5. Step 5: Solve for x
    x = 25,972.36/138.51
  6. Step 6: Final answer
    x = 187.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.