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Finding the Fourth Proportional to 89.76, 134.03 and 76.71

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Solution

The fourth proportional to 89.76, 134.03 and 76.71 is: 114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.76 : 134.03 = 76.71 : x
  2. Step 2: Convert to fraction form
    89.76/134.03 = 76.71/x
  3. Step 3: Cross multiply
    89.76x = 134.03 × 76.71
  4. Step 4: Simplify right side
    89.76x = 10,281.06
  5. Step 5: Solve for x
    x = 10,281.06/89.76
  6. Step 6: Final answer
    x = 114.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.