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Finding the Fourth Proportional to 89.65, 134.44 and 25.51

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Solution

The fourth proportional to 89.65, 134.44 and 25.51 is: 38.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.65 : 134.44 = 25.51 : x
  2. Step 2: Convert to fraction form
    89.65/134.44 = 25.51/x
  3. Step 3: Cross multiply
    89.65x = 134.44 × 25.51
  4. Step 4: Simplify right side
    89.65x = 3,429.44
  5. Step 5: Solve for x
    x = 3,429.44/89.65
  6. Step 6: Final answer
    x = 38.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.