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Finding the Fourth Proportional to 135.98, 187.08 and 132.14

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Solution

The fourth proportional to 135.98, 187.08 and 132.14 is: 181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.98 : 187.08 = 132.14 : x
  2. Step 2: Convert to fraction form
    135.98/187.08 = 132.14/x
  3. Step 3: Cross multiply
    135.98x = 187.08 × 132.14
  4. Step 4: Simplify right side
    135.98x = 24,721.22
  5. Step 5: Solve for x
    x = 24,721.22/135.98
  6. Step 6: Final answer
    x = 181.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.