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Finding the Fourth Proportional to 97.19, 134.24 and 72.74

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Solution

The fourth proportional to 97.19, 134.24 and 72.74 is: 100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.19 : 134.24 = 72.74 : x
  2. Step 2: Convert to fraction form
    97.19/134.24 = 72.74/x
  3. Step 3: Cross multiply
    97.19x = 134.24 × 72.74
  4. Step 4: Simplify right side
    97.19x = 9,763.95
  5. Step 5: Solve for x
    x = 9,763.95/97.19
  6. Step 6: Final answer
    x = 100.46

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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.