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Finding the Fourth Proportional to 99.38, 137.78 and 97.40

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Solution

The fourth proportional to 99.38, 137.78 and 97.40 is: 135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.38 : 137.78 = 97.40 : x
  2. Step 2: Convert to fraction form
    99.38/137.78 = 97.40/x
  3. Step 3: Cross multiply
    99.38x = 137.78 × 97.40
  4. Step 4: Simplify right side
    99.38x = 13,419.77
  5. Step 5: Solve for x
    x = 13,419.77/99.38
  6. Step 6: Final answer
    x = 135.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.