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Finding the Fourth Proportional to 135.76, 187.28 and 89.14

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Solution

The fourth proportional to 135.76, 187.28 and 89.14 is: 122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.76 : 187.28 = 89.14 : x
  2. Step 2: Convert to fraction form
    135.76/187.28 = 89.14/x
  3. Step 3: Cross multiply
    135.76x = 187.28 × 89.14
  4. Step 4: Simplify right side
    135.76x = 16,694.14
  5. Step 5: Solve for x
    x = 16,694.14/135.76
  6. Step 6: Final answer
    x = 122.97

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Why These Related Problems?

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