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Finding the Fourth Proportional to 113.81, 156.74 and 106.25

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Solution

The fourth proportional to 113.81, 156.74 and 106.25 is: 146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.81 : 156.74 = 106.25 : x
  2. Step 2: Convert to fraction form
    113.81/156.74 = 106.25/x
  3. Step 3: Cross multiply
    113.81x = 156.74 × 106.25
  4. Step 4: Simplify right side
    113.81x = 16,652.31
  5. Step 5: Solve for x
    x = 16,652.31/113.81
  6. Step 6: Final answer
    x = 146.32

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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.