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Finding the Fourth Proportional to 118.47, 163.50 and 77.06

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Solution

The fourth proportional to 118.47, 163.50 and 77.06 is: 106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.47 : 163.50 = 77.06 : x
  2. Step 2: Convert to fraction form
    118.47/163.50 = 77.06/x
  3. Step 3: Cross multiply
    118.47x = 163.50 × 77.06
  4. Step 4: Simplify right side
    118.47x = 12,598.49
  5. Step 5: Solve for x
    x = 12,598.49/118.47
  6. Step 6: Final answer
    x = 106.34

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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.