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Finding the Fourth Proportional to 113.62, 156.76 and 66.97

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Solution

The fourth proportional to 113.62, 156.76 and 66.97 is: 92.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.62 : 156.76 = 66.97 : x
  2. Step 2: Convert to fraction form
    113.62/156.76 = 66.97/x
  3. Step 3: Cross multiply
    113.62x = 156.76 × 66.97
  4. Step 4: Simplify right side
    113.62x = 10,498.22
  5. Step 5: Solve for x
    x = 10,498.22/113.62
  6. Step 6: Final answer
    x = 92.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.