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Finding the Fourth Proportional to 99.74, 137.34 and 97.46

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Solution

The fourth proportional to 99.74, 137.34 and 97.46 is: 134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.74 : 137.34 = 97.46 : x
  2. Step 2: Convert to fraction form
    99.74/137.34 = 97.46/x
  3. Step 3: Cross multiply
    99.74x = 137.34 × 97.46
  4. Step 4: Simplify right side
    99.74x = 13,385.31
  5. Step 5: Solve for x
    x = 13,385.31/99.74
  6. Step 6: Final answer
    x = 134.21

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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.