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Finding the Fourth Proportional to 115.23, 172.86 and 69.53

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Solution

The fourth proportional to 115.23, 172.86 and 69.53 is: 104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.23 : 172.86 = 69.53 : x
  2. Step 2: Convert to fraction form
    115.23/172.86 = 69.53/x
  3. Step 3: Cross multiply
    115.23x = 172.86 × 69.53
  4. Step 4: Simplify right side
    115.23x = 12,019.48
  5. Step 5: Solve for x
    x = 12,019.48/115.23
  6. Step 6: Final answer
    x = 104.31

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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.