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Finding the Fourth Proportional to 117.99, 177.12 and 97.83

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Solution

The fourth proportional to 117.99, 177.12 and 97.83 is: 146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.99 : 177.12 = 97.83 : x
  2. Step 2: Convert to fraction form
    117.99/177.12 = 97.83/x
  3. Step 3: Cross multiply
    117.99x = 177.12 × 97.83
  4. Step 4: Simplify right side
    117.99x = 17,327.65
  5. Step 5: Solve for x
    x = 17,327.65/117.99
  6. Step 6: Final answer
    x = 146.86

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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.