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Finding the Fourth Proportional to 113.77, 156.82 and 89.16

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Solution

The fourth proportional to 113.77, 156.82 and 89.16 is: 122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.77 : 156.82 = 89.16 : x
  2. Step 2: Convert to fraction form
    113.77/156.82 = 89.16/x
  3. Step 3: Cross multiply
    113.77x = 156.82 × 89.16
  4. Step 4: Simplify right side
    113.77x = 13,982.07
  5. Step 5: Solve for x
    x = 13,982.07/113.77
  6. Step 6: Final answer
    x = 122.90

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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.