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Finding the Fourth Proportional to 100.43, 138.59 and 56.78

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Solution

The fourth proportional to 100.43, 138.59 and 56.78 is: 78.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.43 : 138.59 = 56.78 : x
  2. Step 2: Convert to fraction form
    100.43/138.59 = 56.78/x
  3. Step 3: Cross multiply
    100.43x = 138.59 × 56.78
  4. Step 4: Simplify right side
    100.43x = 7,868.16
  5. Step 5: Solve for x
    x = 7,868.16/100.43
  6. Step 6: Final answer
    x = 78.34

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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.