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Finding the Fourth Proportional to 117.79, 177.49 and 98.96

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Solution

The fourth proportional to 117.79, 177.49 and 98.96 is: 149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.79 : 177.49 = 98.96 : x
  2. Step 2: Convert to fraction form
    117.79/177.49 = 98.96/x
  3. Step 3: Cross multiply
    117.79x = 177.49 × 98.96
  4. Step 4: Simplify right side
    117.79x = 17,563.65
  5. Step 5: Solve for x
    x = 17,563.65/117.79
  6. Step 6: Final answer
    x = 149.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.