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Finding the Fourth Proportional to 114.33, 172.14 and 87.51

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Solution

The fourth proportional to 114.33, 172.14 and 87.51 is: 131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.33 : 172.14 = 87.51 : x
  2. Step 2: Convert to fraction form
    114.33/172.14 = 87.51/x
  3. Step 3: Cross multiply
    114.33x = 172.14 × 87.51
  4. Step 4: Simplify right side
    114.33x = 15,063.97
  5. Step 5: Solve for x
    x = 15,063.97/114.33
  6. Step 6: Final answer
    x = 131.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.