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Finding the Fourth Proportional to 97.54, 134.97 and 84.58

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Solution

The fourth proportional to 97.54, 134.97 and 84.58 is: 117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.54 : 134.97 = 84.58 : x
  2. Step 2: Convert to fraction form
    97.54/134.97 = 84.58/x
  3. Step 3: Cross multiply
    97.54x = 134.97 × 84.58
  4. Step 4: Simplify right side
    97.54x = 11,415.76
  5. Step 5: Solve for x
    x = 11,415.76/97.54
  6. Step 6: Final answer
    x = 117.04

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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.