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Finding the Fourth Proportional to 116.58, 175.14 and 111.72

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Solution

The fourth proportional to 116.58, 175.14 and 111.72 is: 167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.58 : 175.14 = 111.72 : x
  2. Step 2: Convert to fraction form
    116.58/175.14 = 111.72/x
  3. Step 3: Cross multiply
    116.58x = 175.14 × 111.72
  4. Step 4: Simplify right side
    116.58x = 19,566.64
  5. Step 5: Solve for x
    x = 19,566.64/116.58
  6. Step 6: Final answer
    x = 167.84

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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.