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Finding the Fourth Proportional to 99.15, 148.79 and 51.09

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Solution

The fourth proportional to 99.15, 148.79 and 51.09 is: 76.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.15 : 148.79 = 51.09 : x
  2. Step 2: Convert to fraction form
    99.15/148.79 = 51.09/x
  3. Step 3: Cross multiply
    99.15x = 148.79 × 51.09
  4. Step 4: Simplify right side
    99.15x = 7,601.68
  5. Step 5: Solve for x
    x = 7,601.68/99.15
  6. Step 6: Final answer
    x = 76.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.