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Finding the Fourth Proportional to 117.50, 162.09 and 76.05

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Solution

The fourth proportional to 117.50, 162.09 and 76.05 is: 104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.50 : 162.09 = 76.05 : x
  2. Step 2: Convert to fraction form
    117.50/162.09 = 76.05/x
  3. Step 3: Cross multiply
    117.50x = 162.09 × 76.05
  4. Step 4: Simplify right side
    117.50x = 12,326.94
  5. Step 5: Solve for x
    x = 12,326.94/117.50
  6. Step 6: Final answer
    x = 104.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.