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Finding the Fourth Proportional to 113.10, 156.09 and 89.97

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Solution

The fourth proportional to 113.10, 156.09 and 89.97 is: 124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.10 : 156.09 = 89.97 : x
  2. Step 2: Convert to fraction form
    113.10/156.09 = 89.97/x
  3. Step 3: Cross multiply
    113.10x = 156.09 × 89.97
  4. Step 4: Simplify right side
    113.10x = 14,043.42
  5. Step 5: Solve for x
    x = 14,043.42/113.10
  6. Step 6: Final answer
    x = 124.17

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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.