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Finding the Fourth Proportional to 114.61, 171.17 and 100.99

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Solution

The fourth proportional to 114.61, 171.17 and 100.99 is: 150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.61 : 171.17 = 100.99 : x
  2. Step 2: Convert to fraction form
    114.61/171.17 = 100.99/x
  3. Step 3: Cross multiply
    114.61x = 171.17 × 100.99
  4. Step 4: Simplify right side
    114.61x = 17,286.46
  5. Step 5: Solve for x
    x = 17,286.46/114.61
  6. Step 6: Final answer
    x = 150.83

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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.