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Finding the Fourth Proportional to 100.38, 138.64 and 89.45

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Solution

The fourth proportional to 100.38, 138.64 and 89.45 is: 123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.38 : 138.64 = 89.45 : x
  2. Step 2: Convert to fraction form
    100.38/138.64 = 89.45/x
  3. Step 3: Cross multiply
    100.38x = 138.64 × 89.45
  4. Step 4: Simplify right side
    100.38x = 12,400.43
  5. Step 5: Solve for x
    x = 12,400.43/100.38
  6. Step 6: Final answer
    x = 123.53

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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.