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Finding the Fourth Proportional to 97.34, 134.30 and 55.88

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Solution

The fourth proportional to 97.34, 134.30 and 55.88 is: 77.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.34 : 134.30 = 55.88 : x
  2. Step 2: Convert to fraction form
    97.34/134.30 = 55.88/x
  3. Step 3: Cross multiply
    97.34x = 134.30 × 55.88
  4. Step 4: Simplify right side
    97.34x = 7,504.68
  5. Step 5: Solve for x
    x = 7,504.68/97.34
  6. Step 6: Final answer
    x = 77.10

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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.