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Finding the Fourth Proportional to 115.51, 172.74 and 104.74

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Solution

The fourth proportional to 115.51, 172.74 and 104.74 is: 156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.51 : 172.74 = 104.74 : x
  2. Step 2: Convert to fraction form
    115.51/172.74 = 104.74/x
  3. Step 3: Cross multiply
    115.51x = 172.74 × 104.74
  4. Step 4: Simplify right side
    115.51x = 18,092.57
  5. Step 5: Solve for x
    x = 18,092.57/115.51
  6. Step 6: Final answer
    x = 156.64

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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.