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Finding the Fourth Proportional to 76, 113.51 and 66.88

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Solution

The fourth proportional to 76, 113.51 and 66.88 is: 99.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76 : 113.51 = 66.88 : x
  2. Step 2: Convert to fraction form
    76/113.51 = 66.88/x
  3. Step 3: Cross multiply
    76x = 113.51 × 66.88
  4. Step 4: Simplify right side
    76x = 7,591.55
  5. Step 5: Solve for x
    x = 7,591.55/76
  6. Step 6: Final answer
    x = 99.89

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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.