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Finding the Fourth Proportional to 154.99, 214.14 and 118.36

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Solution

The fourth proportional to 154.99, 214.14 and 118.36 is: 163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.99 : 214.14 = 118.36 : x
  2. Step 2: Convert to fraction form
    154.99/214.14 = 118.36/x
  3. Step 3: Cross multiply
    154.99x = 214.14 × 118.36
  4. Step 4: Simplify right side
    154.99x = 25,345.61
  5. Step 5: Solve for x
    x = 25,345.61/154.99
  6. Step 6: Final answer
    x = 163.53

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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.