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Finding the Fourth Proportional to 100.57, 138.56 and 77.23

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Solution

The fourth proportional to 100.57, 138.56 and 77.23 is: 106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.57 : 138.56 = 77.23 : x
  2. Step 2: Convert to fraction form
    100.57/138.56 = 77.23/x
  3. Step 3: Cross multiply
    100.57x = 138.56 × 77.23
  4. Step 4: Simplify right side
    100.57x = 10,700.60
  5. Step 5: Solve for x
    x = 10,700.60/100.57
  6. Step 6: Final answer
    x = 106.40

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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.