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Finding the Fourth Proportional to 148.72, 205.14 and 124.27

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Solution

The fourth proportional to 148.72, 205.14 and 124.27 is: 171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.72 : 205.14 = 124.27 : x
  2. Step 2: Convert to fraction form
    148.72/205.14 = 124.27/x
  3. Step 3: Cross multiply
    148.72x = 205.14 × 124.27
  4. Step 4: Simplify right side
    148.72x = 25,492.75
  5. Step 5: Solve for x
    x = 25,492.75/148.72
  6. Step 6: Final answer
    x = 171.41

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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.