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Finding the Fourth Proportional to 138.75, 208.16 and 53.25

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Solution

The fourth proportional to 138.75, 208.16 and 53.25 is: 79.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.75 : 208.16 = 53.25 : x
  2. Step 2: Convert to fraction form
    138.75/208.16 = 53.25/x
  3. Step 3: Cross multiply
    138.75x = 208.16 × 53.25
  4. Step 4: Simplify right side
    138.75x = 11,084.25
  5. Step 5: Solve for x
    x = 11,084.25/138.75
  6. Step 6: Final answer
    x = 79.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.