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Finding the Fourth Proportional to 117.94, 162.70 and 76.48

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Solution

The fourth proportional to 117.94, 162.70 and 76.48 is: 105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.94 : 162.70 = 76.48 : x
  2. Step 2: Convert to fraction form
    117.94/162.70 = 76.48/x
  3. Step 3: Cross multiply
    117.94x = 162.70 × 76.48
  4. Step 4: Simplify right side
    117.94x = 12,443.30
  5. Step 5: Solve for x
    x = 12,443.30/117.94
  6. Step 6: Final answer
    x = 105.51

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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.