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Finding the Fourth Proportional to 118.05, 162.84 and 73.77

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Solution

The fourth proportional to 118.05, 162.84 and 73.77 is: 101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.05 : 162.84 = 73.77 : x
  2. Step 2: Convert to fraction form
    118.05/162.84 = 73.77/x
  3. Step 3: Cross multiply
    118.05x = 162.84 × 73.77
  4. Step 4: Simplify right side
    118.05x = 12,012.71
  5. Step 5: Solve for x
    x = 12,012.71/118.05
  6. Step 6: Final answer
    x = 101.76

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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.