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Finding the Fourth Proportional to 114.66, 171.14 and 109.34

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Solution

The fourth proportional to 114.66, 171.14 and 109.34 is: 163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.66 : 171.14 = 109.34 : x
  2. Step 2: Convert to fraction form
    114.66/171.14 = 109.34/x
  3. Step 3: Cross multiply
    114.66x = 171.14 × 109.34
  4. Step 4: Simplify right side
    114.66x = 18,712.45
  5. Step 5: Solve for x
    x = 18,712.45/114.66
  6. Step 6: Final answer
    x = 163.20

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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.