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Finding the Fourth Proportional to 111.65, 167.00 and 65.88

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Solution

The fourth proportional to 111.65, 167.00 and 65.88 is: 98.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.65 : 167.00 = 65.88 : x
  2. Step 2: Convert to fraction form
    111.65/167.00 = 65.88/x
  3. Step 3: Cross multiply
    111.65x = 167.00 × 65.88
  4. Step 4: Simplify right side
    111.65x = 11,001.63
  5. Step 5: Solve for x
    x = 11,001.63/111.65
  6. Step 6: Final answer
    x = 98.54

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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.