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Finding the Fourth Proportional to 124.14, 171.54 and 120.13

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Solution

The fourth proportional to 124.14, 171.54 and 120.13 is: 166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.14 : 171.54 = 120.13 : x
  2. Step 2: Convert to fraction form
    124.14/171.54 = 120.13/x
  3. Step 3: Cross multiply
    124.14x = 171.54 × 120.13
  4. Step 4: Simplify right side
    124.14x = 20,606.50
  5. Step 5: Solve for x
    x = 20,606.50/124.14
  6. Step 6: Final answer
    x = 166.00

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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.