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Finding the Fourth Proportional to 134.65, 185.75 and 87.97

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Solution

The fourth proportional to 134.65, 185.75 and 87.97 is: 121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.65 : 185.75 = 87.97 : x
  2. Step 2: Convert to fraction form
    134.65/185.75 = 87.97/x
  3. Step 3: Cross multiply
    134.65x = 185.75 × 87.97
  4. Step 4: Simplify right side
    134.65x = 16,339.50
  5. Step 5: Solve for x
    x = 16,339.50/134.65
  6. Step 6: Final answer
    x = 121.35

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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.