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Finding the Fourth Proportional to 118.04, 162.87 and 71.41

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Solution

The fourth proportional to 118.04, 162.87 and 71.41 is: 98.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.04 : 162.87 = 71.41 : x
  2. Step 2: Convert to fraction form
    118.04/162.87 = 71.41/x
  3. Step 3: Cross multiply
    118.04x = 162.87 × 71.41
  4. Step 4: Simplify right side
    118.04x = 11,630.14
  5. Step 5: Solve for x
    x = 11,630.14/118.04
  6. Step 6: Final answer
    x = 98.53

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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.