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Finding the Fourth Proportional to 113.97, 157.10 and 77.12

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Solution

The fourth proportional to 113.97, 157.10 and 77.12 is: 106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.97 : 157.10 = 77.12 : x
  2. Step 2: Convert to fraction form
    113.97/157.10 = 77.12/x
  3. Step 3: Cross multiply
    113.97x = 157.10 × 77.12
  4. Step 4: Simplify right side
    113.97x = 12,114.38
  5. Step 5: Solve for x
    x = 12,114.38/113.97
  6. Step 6: Final answer
    x = 106.29

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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.