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Finding the Fourth Proportional to 113.59, 156.69 and 66.96

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Solution

The fourth proportional to 113.59, 156.69 and 66.96 is: 92.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.59 : 156.69 = 66.96 : x
  2. Step 2: Convert to fraction form
    113.59/156.69 = 66.96/x
  3. Step 3: Cross multiply
    113.59x = 156.69 × 66.96
  4. Step 4: Simplify right side
    113.59x = 10,492.13
  5. Step 5: Solve for x
    x = 10,492.13/113.59
  6. Step 6: Final answer
    x = 92.37

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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.