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Finding the Fourth Proportional to 99.40, 137.44 and 97.85

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Solution

The fourth proportional to 99.40, 137.44 and 97.85 is: 135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.40 : 137.44 = 97.85 : x
  2. Step 2: Convert to fraction form
    99.40/137.44 = 97.85/x
  3. Step 3: Cross multiply
    99.40x = 137.44 × 97.85
  4. Step 4: Simplify right side
    99.40x = 13,448.50
  5. Step 5: Solve for x
    x = 13,448.50/99.40
  6. Step 6: Final answer
    x = 135.30

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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.