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Finding the Fourth Proportional to 113.90, 156.99 and 82.32

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Solution

The fourth proportional to 113.90, 156.99 and 82.32 is: 113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.90 : 156.99 = 82.32 : x
  2. Step 2: Convert to fraction form
    113.90/156.99 = 82.32/x
  3. Step 3: Cross multiply
    113.90x = 156.99 × 82.32
  4. Step 4: Simplify right side
    113.90x = 12,923.42
  5. Step 5: Solve for x
    x = 12,923.42/113.90
  6. Step 6: Final answer
    x = 113.47

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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.