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Finding the Fourth Proportional to 100.00, 138.00 and 56.33

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Solution

The fourth proportional to 100.00, 138.00 and 56.33 is: 77.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.00 : 138.00 = 56.33 : x
  2. Step 2: Convert to fraction form
    100.00/138.00 = 56.33/x
  3. Step 3: Cross multiply
    100.00x = 138.00 × 56.33
  4. Step 4: Simplify right side
    100.00x = 7,773.58
  5. Step 5: Solve for x
    x = 7,773.58/100.00
  6. Step 6: Final answer
    x = 77.73

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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.