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Finding the Fourth Proportional to 154.96, 214.03 and 118.10

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Solution

The fourth proportional to 154.96, 214.03 and 118.10 is: 163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.96 : 214.03 = 118.10 : x
  2. Step 2: Convert to fraction form
    154.96/214.03 = 118.10/x
  3. Step 3: Cross multiply
    154.96x = 214.03 × 118.10
  4. Step 4: Simplify right side
    154.96x = 25,276.94
  5. Step 5: Solve for x
    x = 25,276.94/154.96
  6. Step 6: Final answer
    x = 163.12

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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.