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Finding the Fourth Proportional to 114.48, 171 and 82.44

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Solution

The fourth proportional to 114.48, 171 and 82.44 is: 123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.48 : 171 = 82.44 : x
  2. Step 2: Convert to fraction form
    114.48/171 = 82.44/x
  3. Step 3: Cross multiply
    114.48x = 171 × 82.44
  4. Step 4: Simplify right side
    114.48x = 14,097.24
  5. Step 5: Solve for x
    x = 14,097.24/114.48
  6. Step 6: Final answer
    x = 123.14

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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.