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Finding the Fourth Proportional to 124.54, 171.78 and 114.21

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Solution

The fourth proportional to 124.54, 171.78 and 114.21 is: 157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.54 : 171.78 = 114.21 : x
  2. Step 2: Convert to fraction form
    124.54/171.78 = 114.21/x
  3. Step 3: Cross multiply
    124.54x = 171.78 × 114.21
  4. Step 4: Simplify right side
    124.54x = 19,619.85
  5. Step 5: Solve for x
    x = 19,619.85/124.54
  6. Step 6: Final answer
    x = 157.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.