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Finding the Fourth Proportional to 97.46, 134.43 and 64.76

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Solution

The fourth proportional to 97.46, 134.43 and 64.76 is: 89.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.46 : 134.43 = 64.76 : x
  2. Step 2: Convert to fraction form
    97.46/134.43 = 64.76/x
  3. Step 3: Cross multiply
    97.46x = 134.43 × 64.76
  4. Step 4: Simplify right side
    97.46x = 8,705.69
  5. Step 5: Solve for x
    x = 8,705.69/97.46
  6. Step 6: Final answer
    x = 89.33

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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.