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Finding the Fourth Proportional to 111.02, 167.24 and 87.14

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Solution

The fourth proportional to 111.02, 167.24 and 87.14 is: 131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.02 : 167.24 = 87.14 : x
  2. Step 2: Convert to fraction form
    111.02/167.24 = 87.14/x
  3. Step 3: Cross multiply
    111.02x = 167.24 × 87.14
  4. Step 4: Simplify right side
    111.02x = 14,572.86
  5. Step 5: Solve for x
    x = 14,572.86/111.02
  6. Step 6: Final answer
    x = 131.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.