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Finding the Fourth Proportional to 114.62, 171.10 and 97.38

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Solution

The fourth proportional to 114.62, 171.10 and 97.38 is: 145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.62 : 171.10 = 97.38 : x
  2. Step 2: Convert to fraction form
    114.62/171.10 = 97.38/x
  3. Step 3: Cross multiply
    114.62x = 171.10 × 97.38
  4. Step 4: Simplify right side
    114.62x = 16,661.47
  5. Step 5: Solve for x
    x = 16,661.47/114.62
  6. Step 6: Final answer
    x = 145.37

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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.