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Finding the Fourth Proportional to 114.45, 171.71 and 37.42

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Solution

The fourth proportional to 114.45, 171.71 and 37.42 is: 56.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.45 : 171.71 = 37.42 : x
  2. Step 2: Convert to fraction form
    114.45/171.71 = 37.42/x
  3. Step 3: Cross multiply
    114.45x = 171.71 × 37.42
  4. Step 4: Simplify right side
    114.45x = 6,425.39
  5. Step 5: Solve for x
    x = 6,425.39/114.45
  6. Step 6: Final answer
    x = 56.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.