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Finding the Fourth Proportional to 99.25, 148.93 and 51.19

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Solution

The fourth proportional to 99.25, 148.93 and 51.19 is: 76.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.25 : 148.93 = 51.19 : x
  2. Step 2: Convert to fraction form
    99.25/148.93 = 51.19/x
  3. Step 3: Cross multiply
    99.25x = 148.93 × 51.19
  4. Step 4: Simplify right side
    99.25x = 7,623.73
  5. Step 5: Solve for x
    x = 7,623.73/99.25
  6. Step 6: Final answer
    x = 76.81

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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.