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Finding the Fourth Proportional to 115.22, 172.84 and 76.74

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Solution

The fourth proportional to 115.22, 172.84 and 76.74 is: 115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.22 : 172.84 = 76.74 : x
  2. Step 2: Convert to fraction form
    115.22/172.84 = 76.74/x
  3. Step 3: Cross multiply
    115.22x = 172.84 × 76.74
  4. Step 4: Simplify right side
    115.22x = 13,263.74
  5. Step 5: Solve for x
    x = 13,263.74/115.22
  6. Step 6: Final answer
    x = 115.12

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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.