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Finding the Fourth Proportional to 115.84, 172.44 and 115.22

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Solution

The fourth proportional to 115.84, 172.44 and 115.22 is: 171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.84 : 172.44 = 115.22 : x
  2. Step 2: Convert to fraction form
    115.84/172.44 = 115.22/x
  3. Step 3: Cross multiply
    115.84x = 172.44 × 115.22
  4. Step 4: Simplify right side
    115.84x = 19,868.54
  5. Step 5: Solve for x
    x = 19,868.54/115.84
  6. Step 6: Final answer
    x = 171.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.