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Finding the Fourth Proportional to 114.39, 171.64 and 49.43

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Solution

The fourth proportional to 114.39, 171.64 and 49.43 is: 74.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.39 : 171.64 = 49.43 : x
  2. Step 2: Convert to fraction form
    114.39/171.64 = 49.43/x
  3. Step 3: Cross multiply
    114.39x = 171.64 × 49.43
  4. Step 4: Simplify right side
    114.39x = 8,483.31
  5. Step 5: Solve for x
    x = 8,483.31/114.39
  6. Step 6: Final answer
    x = 74.16

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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.