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Finding the Fourth Proportional to 113.40, 156.38 and 85.84

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Solution

The fourth proportional to 113.40, 156.38 and 85.84 is: 118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.40 : 156.38 = 85.84 : x
  2. Step 2: Convert to fraction form
    113.40/156.38 = 85.84/x
  3. Step 3: Cross multiply
    113.40x = 156.38 × 85.84
  4. Step 4: Simplify right side
    113.40x = 13,423.66
  5. Step 5: Solve for x
    x = 13,423.66/113.40
  6. Step 6: Final answer
    x = 118.37

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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.