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Finding the Fourth Proportional to 100.53, 138.75 and 69.54

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Solution

The fourth proportional to 100.53, 138.75 and 69.54 is: 95.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.53 : 138.75 = 69.54 : x
  2. Step 2: Convert to fraction form
    100.53/138.75 = 69.54/x
  3. Step 3: Cross multiply
    100.53x = 138.75 × 69.54
  4. Step 4: Simplify right side
    100.53x = 9,648.68
  5. Step 5: Solve for x
    x = 9,648.68/100.53
  6. Step 6: Final answer
    x = 95.98

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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.