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Finding the Fourth Proportional to 138.16, 208.02 and 124.40

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Solution

The fourth proportional to 138.16, 208.02 and 124.40 is: 187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.16 : 208.02 = 124.40 : x
  2. Step 2: Convert to fraction form
    138.16/208.02 = 124.40/x
  3. Step 3: Cross multiply
    138.16x = 208.02 × 124.40
  4. Step 4: Simplify right side
    138.16x = 25,877.69
  5. Step 5: Solve for x
    x = 25,877.69/138.16
  6. Step 6: Final answer
    x = 187.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.