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Finding the Fourth Proportional to 113.94, 157.32 and 106.74

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Solution

The fourth proportional to 113.94, 157.32 and 106.74 is: 147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.94 : 157.32 = 106.74 : x
  2. Step 2: Convert to fraction form
    113.94/157.32 = 106.74/x
  3. Step 3: Cross multiply
    113.94x = 157.32 × 106.74
  4. Step 4: Simplify right side
    113.94x = 16,792.34
  5. Step 5: Solve for x
    x = 16,792.34/113.94
  6. Step 6: Final answer
    x = 147.38

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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.