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Finding the Fourth Proportional to 136.53, 188.35 and 89.98

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Solution

The fourth proportional to 136.53, 188.35 and 89.98 is: 124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.53 : 188.35 = 89.98 : x
  2. Step 2: Convert to fraction form
    136.53/188.35 = 89.98/x
  3. Step 3: Cross multiply
    136.53x = 188.35 × 89.98
  4. Step 4: Simplify right side
    136.53x = 16,947.73
  5. Step 5: Solve for x
    x = 16,947.73/136.53
  6. Step 6: Final answer
    x = 124.13

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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.