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Finding the Fourth Proportional to 100.38, 138.54 and 77.10

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Solution

The fourth proportional to 100.38, 138.54 and 77.10 is: 106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.38 : 138.54 = 77.10 : x
  2. Step 2: Convert to fraction form
    100.38/138.54 = 77.10/x
  3. Step 3: Cross multiply
    100.38x = 138.54 × 77.10
  4. Step 4: Simplify right side
    100.38x = 10,681.43
  5. Step 5: Solve for x
    x = 10,681.43/100.38
  6. Step 6: Final answer
    x = 106.41

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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.