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Finding the Fourth Proportional to 100.22, 138.30 and 56.57

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Solution

The fourth proportional to 100.22, 138.30 and 56.57 is: 78.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.22 : 138.30 = 56.57 : x
  2. Step 2: Convert to fraction form
    100.22/138.30 = 56.57/x
  3. Step 3: Cross multiply
    100.22x = 138.30 × 56.57
  4. Step 4: Simplify right side
    100.22x = 7,822.94
  5. Step 5: Solve for x
    x = 7,822.94/100.22
  6. Step 6: Final answer
    x = 78.06

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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.