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Finding the Fourth Proportional to 136.31, 188.25 and 105.53

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Solution

The fourth proportional to 136.31, 188.25 and 105.53 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.31 : 188.25 = 105.53 : x
  2. Step 2: Convert to fraction form
    136.31/188.25 = 105.53/x
  3. Step 3: Cross multiply
    136.31x = 188.25 × 105.53
  4. Step 4: Simplify right side
    136.31x = 19,866.02
  5. Step 5: Solve for x
    x = 19,866.02/136.31
  6. Step 6: Final answer
    x = 145.74

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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.