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Finding the Fourth Proportional to 97.64, 134.66 and 64.83

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Solution

The fourth proportional to 97.64, 134.66 and 64.83 is: 89.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.64 : 134.66 = 64.83 : x
  2. Step 2: Convert to fraction form
    97.64/134.66 = 64.83/x
  3. Step 3: Cross multiply
    97.64x = 134.66 × 64.83
  4. Step 4: Simplify right side
    97.64x = 8,729.68
  5. Step 5: Solve for x
    x = 8,729.68/97.64
  6. Step 6: Final answer
    x = 89.41

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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.