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Finding the Fourth Proportional to 134.70, 185.82 and 97.35

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Solution

The fourth proportional to 134.70, 185.82 and 97.35 is: 134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.70 : 185.82 = 97.35 : x
  2. Step 2: Convert to fraction form
    134.70/185.82 = 97.35/x
  3. Step 3: Cross multiply
    134.70x = 185.82 × 97.35
  4. Step 4: Simplify right side
    134.70x = 18,089.58
  5. Step 5: Solve for x
    x = 18,089.58/134.70
  6. Step 6: Final answer
    x = 134.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.