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Finding the Fourth Proportional to 118.31, 176.64 and 102.05

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Solution

The fourth proportional to 118.31, 176.64 and 102.05 is: 152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.31 : 176.64 = 102.05 : x
  2. Step 2: Convert to fraction form
    118.31/176.64 = 102.05/x
  3. Step 3: Cross multiply
    118.31x = 176.64 × 102.05
  4. Step 4: Simplify right side
    118.31x = 18,025.23
  5. Step 5: Solve for x
    x = 18,025.23/118.31
  6. Step 6: Final answer
    x = 152.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.