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Finding the Fourth Proportional to 115.71, 172.88 and 111.67

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Solution

The fourth proportional to 115.71, 172.88 and 111.67 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.71 : 172.88 = 111.67 : x
  2. Step 2: Convert to fraction form
    115.71/172.88 = 111.67/x
  3. Step 3: Cross multiply
    115.71x = 172.88 × 111.67
  4. Step 4: Simplify right side
    115.71x = 19,305.51
  5. Step 5: Solve for x
    x = 19,305.51/115.71
  6. Step 6: Final answer
    x = 166.85

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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.