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Finding the Fourth Proportional to 115.78, 172.71 and 108.02

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Solution

The fourth proportional to 115.78, 172.71 and 108.02 is: 161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.78 : 172.71 = 108.02 : x
  2. Step 2: Convert to fraction form
    115.78/172.71 = 108.02/x
  3. Step 3: Cross multiply
    115.78x = 172.71 × 108.02
  4. Step 4: Simplify right side
    115.78x = 18,655.59
  5. Step 5: Solve for x
    x = 18,655.59/115.78
  6. Step 6: Final answer
    x = 161.13

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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.