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Finding the Fourth Proportional to 118.04, 162.74 and 76.52

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Solution

The fourth proportional to 118.04, 162.74 and 76.52 is: 105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.04 : 162.74 = 76.52 : x
  2. Step 2: Convert to fraction form
    118.04/162.74 = 76.52/x
  3. Step 3: Cross multiply
    118.04x = 162.74 × 76.52
  4. Step 4: Simplify right side
    118.04x = 12,452.86
  5. Step 5: Solve for x
    x = 12,452.86/118.04
  6. Step 6: Final answer
    x = 105.50

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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.